**PROJECTION OF POINTS, LINES AND PLANE SURFACE**

**BASICS OF ORTHOGRAPHIC PROJECTIONS**

**1.The straight lines which are drawn from**

various points on the contour of an object to

meet a plane are called as

a) connecting lines

b) projectors

c) perpendicular lines

d) hidden lines.**Answer: b**The object will generally kept

Explanation:

at a distance from planes so to represent the

shape in that view projectors are drawn

perpendicular to plane in orthographic

projection. Projectors are simply called lines

of sights when an observer looks towards an

object from infinity.**2.When the projectors are parallel to each**

other and also perpendicular to the plane, the

projection is called

a) Perspective projection

b) Oblique projection

c) Isometric projection

d) Orthographic projection**Answer: d**In orthographic projection, the

Explanation:

projectors are parallel to each other and also

perpendicular to the plane but in oblique

projection, the projectors are inclined to the

plane of projection and projectors are parallel

to each other.**3.In the Oblique projection an object is**

represented by how many views?

a) one view

b) two views

c) three views

d) four views**Answer: a**Oblique projection is one method of pictorial projection. Oblique projection shows three dimensional objects on the projection plane in one view only. This type of drawing is useful for making an assembly of an object and provides directly a production drawing.

Explanation:

**4.The object we see in our surrounding**

usually without drawing came under which

projection?

a) Perspective projection

b) Oblique projection

c) Isometric projection

d) Orthographic projection**Answer: a**Perspective projection gives the

Explanation:

view of an object on a plane surface, called

the picture plane, as it would appear to the

eye when viewed from a fixed position. It

may also be defined as the figure formed on

the projection plane when visual rays from

the eye to the object cut the plane.**5.In orthographic projection, each projection**

view represents how many dimensions of an

object?

a) 1

b) 2

c) 3

d) 0**Answer: b**In orthographic projection and

Explanation:

oblique projection the projection planes

which represent one view of an object only

shows width, height; width, thickness; height,

thickness only but in isometric and

perspective projections width, height and

thickness can also be viewed.**6.In orthographic projection an object is**

represented by two or three views on different

planes which

a) gives views from different angles from

different directions

b) are mutually perpendicular projection

planes

c) are parallel along one direction but at

different cross-section

d) are obtained by taking prints from 2 or 3

sides of object**Answer: b**By viewing in mutual

Explanation:

perpendicular planes- Vertical plane,

horizontal plane, profile plane which

indirectly gives us front view in x-direction,

top-view in y –direction and thickness in z-direction which are mutually perpendicular.

Ortho means perpendicular.**7.To represent the object on paper by**

orthographic projection the horizontal plane

(H.P) should be placed in which way?

a) The H.P is turned in a clockwise direction

up to 90 degrees

b) The H.P is turned in anti-clockwise

direction up to 90 degrees

c) H.P plane is placed to left side of vertical

plane parallel to it

d) H.P plane is placed to right side of vertical

plane parallel to it**Answer: a**The vertical plane and

Explanation:

horizontal plane are perpendicular planes

intersected at reference line. So on paper to

represent perpendicular planes any of the

planes should arrange to get a real picture of

required projection.**8.The hidden parts inside or back side of**

object while represented in orthographic

projection are represented by which line?

a) Continuous thick line

b) Continuous thin line

c) Dashed thin line

d) Long-break line**Answer: c**Continuous thick line is used

Explanation:

for visible outlines, visible edges, crests of

screw threads, limits of full depth thread etc.

Continuous thin line is used for extension,

projection, short centre, leader, reference

lines, imaginary lines of intersection etc.

**9.Orthographic projection is the**

representation of two or more views on the

mutual perpendicular projection planes.

a) True

b) False**Answer: a**Orthographic projection is the

Explanation:

representation of two or more views on the

mutual perpendicular projection planes. But

for oblique projection, the object is viewed in

only one view. And in isometric view the

object is kept resting on the ground on one of

its corners with a solid diagonal perpendicular

to the V.P.**10.In perspective projection and oblique**

projection, the projectors are not parallel to

each other.

a) True

b) False**Answer: b**In Oblique projection the

Explanation:

projectors are parallel to each other but

inclined to projection plane but in perspective

projection all the projectors are not parallel to

each other and so to projection plane.**11.What is additional 3rd view on**

orthographic projection in general for simple

objects?

a) Front view

b) Top view

c) Side view

d) View at 45 degrees perpendicular to

horizontal plane**Answer: c**In general for simple objects

Explanation:

engineers use only front view and top view or

else front view and side view or else top view

and side view. If every view is visualized side

view gives height and thickness of object.**12.The front view of an object is shown on**

which plane?

a) Profile plane

b) Vertical plane

c) Horizontal plane

d) Parallel plane**Answer: b**The front view will be

Explanation:

represented on vertical plane, top view will be

represented on horizontal plane and side view

will be shown on profile plane. The front

view shows height and width of object.**13.The Top view of an object is shown on**

which plane?

a) Profile plane

b) Vertical plane

c) Horizontal plane

d) Parallel plane**Answer: c**The front view will be shown

Explanation:

on vertical plane, top view will be represented

on horizontal plane and side view will be

represents on profile plane. The top view

gives thickness and width of the object.**14.The side view of an object is shown on**

which plane?

a) Profile plane

b) Vertical plane

c) Horizontal plane

d) Parallel plane**Answer: a**The front view will be

Explanation:

represents on vertical plane, top view will be

shown on horizontal plane and side view will

be represents on profile plane. The side view

gives height and thickness of object

**PLANES OF PROJECTIONS AND FOUR QUADRANTS**

**1.The 2nd quadrant is in which position?**

a) Below H.P, behind V.P

b) Above H.P, behind V.P

c) Above H.P, in-front of V.P

d) Below H.P, in-front of V.P**Answer: bExplanation: **The position of reference

planes will be similar to quadrants in x, y

plane co-ordinate system. As the 2nd

quadrant lies above the x-axis and behind the

y-axis here also the 2nd quadrant is above

H.P, behind V.P.

**2.The 3rd quadrant is in which position?**

a) Below H.P, behind V.P

b) Above H.P, behind V.P

c) Above H.P, in-front of V.P

d) Below H.P, in-front of V.P**Answer: a**The position of reference

Explanation:

planes will be similar to quadrants in x, y

plane co-ordinate system. As the 3rd quadrant

lies below the x-axis and behind the y-axis

here also the 3rd quadrant is below H.P,

behind V.P.**3.The 4th quadrant is in which position?**

a) Below H.P, behind V.P

b) Above H.P, behind V.P

c) Above H.P, in-front of V.P

d) Below H.P, in-front of V.P**Answer: d**The position of reference

Explanation:

planes will be similar to quadrants in x, y

plane co-ordinate system. As the 4th quadrant

lies below the x-axis and in front of the y-axis

here also the 4th quadrant is below H.P, in

front of V.P.**4.The 1st quadrant is in which position?**

a) Below H.P, behind V.P

b) Above H.P, behind V.P

c) Above H.P, in-front of V.P

d) Below H.P, in-front of V.P**Answer: c**The position of reference

Explanation:

planes will be similar to quadrants in x, y

plane co-ordinate system. As the 1st quadrant

lies above the x-axis and in front of the y-axis

here also the 1st quadrant is above H.P, in

front of V.P.**5.The position of the views with respect to**

the reference line will not change according

to the quadrant in which the object may be

situated.

a) True

b) False**Answer: b**The position of the views with

Explanation:

respect to the reference line will change

according to the quadrant in which the object

may be situated because the representation of

views will on 2 dimensional sheet for that the

planes has to rotate and with respective to

reference line and this will be different for

different quadrant.**6.The first and the third quadrants are always**

opened out while rotating the planes.

a) True

b) False**Answer: a**According to the standards it is

Explanation:

made that the planes rotate in a clockwise

direction while drawing the orthographic

projections of objects on the different

quadrant. So as the horizontal rotates 90

degrees in clockwise with respect to reference

line the views in 2nd and 4th quadrants

overlap but in 1st and 3rd the views will not

coincide so they are said to be opened.**7.An object is kept in one of the quadrants of**

principal planes of projection, for both the

front view and top view of the object, the

view came first and then the object (the

observer is at the top right side of principal

planes). The object is in which quadrant?

a) 1st quadrant

b) 2nd quadrant

c) 3rd quadrant

d) 4th quadrant

**Answer: cExplanation:** If we imagine the principal

planes and the observer at the top right side of

those planes we can clearly watch the

positions of object with respect to their view.

Here the object is in 3rd quadrant so view

will come first.

**8.An object is kept in one of the quadrants of**

principal planes of projection, for both the

front view and top view of the object the

object came first and then the views on planes

(the observer is at top right side of principal

planes). The object is in which quadrant?

a) 1st quadrant

b) 2nd quadrant

c) 3rd quadrant

d) 4th quadrant**Answer: a**If we imagine the principal

Explanation:

planes and the observer at top right side of

those planes we can clearly watch the

positions of object with respect to their view.

Here the object is in 1st quadrant so object

will come first in both the views.**9.An object is kept in one of the quadrants of**

principal planes of projection, for the front

view the view is first and object is next and

for top view the object came first and then the

view on plane (the observer is at top right

side of principal planes). The object is in

which quadrant?

a) 1st quadrant

b) 2nd quadrant

c) 3rd quadrant

d) 4th quadrant**Answer: b**If we imagine the principal

Explanation:

planes and the observer at top right side of

those planes we can clearly watch the

positions of object with respect to their view.

Here the object is in 2nd quadrant so view

will come first for front view and object will

come first for top view.**10.The line formed by intersection of**

principal planes is called

a) projection line

b) origin line

c) line of intersection

d) reference line**Answer: d**The line formed by an

Explanation:

intersection of principal planes or reference

planes of projection that is the vertical plane

or frontal plane and horizontal plane is called

reference line which is denoted by the letters xy.**11.The vertical plane is also called**

a) straight plane

b) perpendicular plane

c) frontal plane

d) pole plane**Answer: c**Vertical plane will be vertical to

Explanation:

ground and perpendicular with horizontal

plane. As the observer will always be at righttop side of planes of projections the front

view will always be placed on vertical plane

only so the vertical plane is also called frontal

plane.**12.The negative horizontal plane and**

positive horizontal makes angle with

each other.

a) 90 degrees

b) 180 degrees

c) 120 degrees

d) 270 degrees**Answer: b**The negative horizontal plane

Explanation:

means the part of horizontal plane which lies

in 2nd quadrant. The positive and negative

planes are parallel to each other so the angle

between the parallel planes is always 180

degrees.

**13.The positive vertical plane and positive**

horizontal plane makes angle with

each other in anti clockwise direction.

a) 180 degrees

b) 270 degrees

c) 0 degrees

d) 90 degrees**Answer: b**Given the direction is anti-clockwise direction so the angle in 270

Explanation:

degrees if it is given clockwise direction the

angle should be 90 degrees since the given

planes are consecutive planes in planes of

projection.

**FIRST ANGLE PROJECTION METHOD**

**1.In 1st angle projection the object is kept in**

a) 1st quadrant

b) 2nd quadrant

c) 3rd quadrant

d) 4th quadrant**Answer: a**We can keep an object in any

Explanation:

quadrant of projection planes but every time

we keep in different quadrants gives different

relative positions in projections. Here 1st

angle represents the initial stage in forming

projection of planes so 1st quadrant

represents 1st angle projection.**2.1st angle projection is recommended by**

a) USA

b) ISI

c) Bureau of Indian Standards

d) ASME**Answer: c**First angle projection is

Explanation:

recommended by Bureau of Indian Standards

but USA and other countries recommend

third angle projection. The changes in both

the projections are relative positions in

projection.**3.In 1st angle projection the lies**

between and

a) object, projection plane, observer

b) projection plane, object, observer

c) reference line, side view, front view

d) reference line, left side view, right side

view**Answer: a**The observer is always at the

Explanation:

right side top end. So as the observer watches

the object comes first and then the projection

plane as the object in the 1st quadrant in 1st

angle projection. So object lies between

projection plane and observer.**4.In 1st angle projection, the front view will**

be below the top view.

a) True

b) False**Answer: b**As the object is in first

Explanation:

quadrant and the front view projects on

vertical plane and top view projects on

horizontal plane. And for representing the

projection the horizontal plane has to turn 90

degrees in clockwise direction. The top view

will be below the front view.**5.In 1st angle projection the positions of**

front and top views are

a) top view lies above the front view

b) front view lies above the top view

c) front view lie left side to top view

d) top view lie left side to front view**Answer: b**As the object is in first

Explanation:

quadrant and the front view projects on

vertical plane and top view projects on

horizontal plane. And for representing the

projection the horizontal plane has to turn 90

degrees in clockwise direction.

**6.In 1st angle projection, the left side view**

will be left side of front view.

a) True

b) False**Answer: b**In first angle projection the

Explanation:

object’s left side will be projected only if we

watch from left side of object and the

impression will fall to the right side of front

view similar to the other side also so the left

side view is placed on the right side of front

view.**7.The positions of right side view and front**

view of an object kept in 1st quadrant and

projection are drawn?

a) Right side view is right side of front view

b) Right side view is left side of front view

c) Right side view is above the front view

d) Right side view is below the front view**Answer: b**In first angle projection the

Explanation:

object’s right side will be projected only if we

watch from right side of object and the

impression will fall to the left side of front

view similar to the other side also so the right

side view is placed on the left side of front

view.**8.The positions of reference line and top**

view in 1st angle projection are

a) reference line lies above the top view

b) reference line lies below the top view

c) reference line lie left side to top view

d) reference line lie right side to top view**Answer: a**Reference line will be the xy

Explanation:

line which is formed by intersection of

vertical plane and horizontal plane. In the first

angle projection the projections of object is

taken by placing object in 1st quadrant and

top view is projected on to horizontal plane

which is after the reference line.**9.If an object is placed in 1st quadrant such**

that one of the surfaces of object is coinciding

with vertical plane, what is the correct

position of views from the following?

a) The front view touches the reference line

b) The side view touches the reference line

c) The top view touches the reference line

d) The bottom view touches the reference line**Answer: c**In the first angle projection the

Explanation:

projections of object is taken by placing

object in 1st quadrant. If the object’s surface

is coinciding the vertical plane which

indirectly saying the distance from vertical

plane is zero so top view of that object

touches the reference line.**10.If an object is placed in 1st quadrant such**

that one of the surfaces of object is coinciding

with horizontal plane, what is the correct

position of views from the following?

a) The front view touches the reference line

b) The side view touches the reference line

c) The top view touches the reference line

d) The bottom view touches the reference line**Answer: a**In the first angle projection the

Explanation:

projections of object is taken by placing

object in 1st quadrant. If the object’s surface

is coinciding the horizontal plane which

indirectly saying the distance from horizontal

plane is zero so front view of that object

touches the reference line.**11.If an object is placed in 1st quadrant such**

that one of the surfaces of object is coinciding

with both vertical plane and horizontal plane,

what is the correct position of views from the

following?

a) The top view touches the reference line

b) The top view and side view touch each

other

c) Both side views touch each other

d) The top view and front touches each other

at reference line

**Answer: dExplanation:** If the object is placed in 1st

quadrant and the object’s surface is

coinciding with both the horizontal plane and

vertical plane which indirectly saying the

distance from both the planes is zero so both

top and front views of that object touches the

reference line.

**12.Where is the position of bottom view in**

1st angle projection?

a) left side of right hand side view

b) right side of right hand side view

c) above the front view

d) below the top view**Answer: c**First angle projection means

Explanation:

the object is placed in first quadrant and the

top view of the object is below the front view

so the bottom view is above the front view.

This is obtained as the bottom view is viewed

from bottom and so is projected upwards.**13.Where is the position of back view in 1st**

angle projection?

a) left side of right hand side view

b) right side of right hand side view

c) above the front view

d) below the top view**Answer: b**In the first angle projection the

Explanation:

top view of the object is below the front view

and then come the side views to the left and

right of front view and then back view which

can either be kept on ends of side views but

as standard notation it is placed on right side

of right side view.

**THIRD ANGLE PROJECTION METHOD**

**1.In 3rd angle projection the object is kept in**

a) 1st quadrant

b) 2nd quadrant

c) 3rd quadrant

d) 4th quadrant**Answer: c**We can keep object in any

Explanation:

quadrant of projection planes but every time

we keep in different quadrants gives different

relative positions in projections. Here 3rd

angle represents the initial stage in forming

projection of planes so 3rd quadrant

represents 3rd angle projection.**2.3rd angle projection is recommended by**

a) USA

b) ISI

c) Bureau of Indian Standards

d) IS**Answer: a**Third angle projection is

Explanation:

recommended by USA and other countries

and 1st angle projection is recommended by

Bureau of Indian Standards. The changes in

both the projections are relative positions in

projection.**3.In 3rd angle projection the lies**

between and

a) object, projection plane, observer

b) projection plane, object, observer

c) reference line, side view, front view

d) reference line, left side view, right side

view**Answer: b**The observer is always at the

Explanation:

right side top end. So as the observer watches

the projection plane comes first and then the

object as the object in the 3rd quadrant in 3rd

angle projection, so plane of projection lies

between object and observer.**4.In 3rd angle projection, the front view will**

be below the top view.

a) True

b) False

**Answer: aExplanation: **As the object is in third

quadrant and the front view projects on a

vertical plane and top view projects on

horizontal plane. And for representing the

projection the horizontal plane has to turn 90

degrees in clockwise direction. The top view

will be above the front view.

**5.In 3rd angle projection, the positions of**

front view and top views are?

a) Top view lies above the front view

b) Front view lies above the top view

c) Front view lie left side to top view

d) Top view lie left side to front view**Answer: a**As the object is in third

Explanation:

quadrant and the front view projects on a

vertical plane and top view projects on

horizontal plane. And for representing the

projection the horizontal plane has to turn 90

degrees in clockwise direction.**6.In 3rd angle projection, the left side view**

will be left side of front view.

a) True

b) False**Answer: a**In third angle projection the

Explanation:

object’s left side will be projected only if we

watch from right side of the object so

impression will fall to the left side of front

view since the plane of projection is back side

of object and also the right side view is

placed on the right side of front view.**7.The positions of right side view and front**

view of an object kept in 3rd quadrant and

projection are drawn?

a) right side view is right side of front view

b) right side view is left side of front view

c) right side view is above the front view

d) right side view is below the front view**Answer: a**In third angle projection the

Explanation:

object’s right side will be projected only if we

watch from left side of the object and the

impression will fall to the right side of front

view similar to the other side also so the left

side view is placed on the left side of front

view.**8.The positions of reference line and top**

view in 3rd angle projection are?

a) reference line lies above the top view

b) reference line lies below the top view

c) reference line lie left side to top view

d) reference line lie right side to top view**Answer: b**Reference line will be the xy

Explanation:

line which is formed by an intersection of

vertical plane and horizontal plane. In the

third angle projection the projections of

object are taken by placing object in 3rd

quadrant and top view is projected on to

horizontal plane which is above the reference

line.**9.If an object is placed in 3rd quadrant such**

that one of the surfaces of object is coinciding

with vertical plane, what is the correct

position of views from the following?

a) The front view touches the reference line

b) The side view touches the reference line

c) The top view touches the reference line

d) The bottom view touches the reference line**Answer: c**In the third angle projection the

Explanation:

projections of object is taken by placing

object in 3rd quadrant. If the object’s surface

is coinciding the vertical plane which

indirectly saying the distance from vertical

plane is zero so top view of that object

touches the reference line.**10.If an object is placed in 3rd quadrant such**

that one of the surfaces of object is coinciding

with horizontal plane, what is the correct

position of views from the following?

a) The front view touches the reference line

b) The side view touches the reference line

c) The top view touches the reference line

d) The bottom view touches the reference line**Answer: aExplanation:** In the third angle projection the

projections of object is taken by placing

object in 3rd quadrant. If the object’s surface

is coinciding the horizontal plane which

indirectly saying the distance from horizontal

plane is zero so front view of that object

touches the reference line.

**11.If an object is placed in 3rd quadrant such**

that one of the surfaces of object is coinciding

with both vertical plane and horizontal plane,

what is the correct position of views from the

following?

a) The top view touches the reference line

b) The top view and side view touch each

other

c) Both side views touch each other

d) The top view and front touches each other

at reference line**Answer: d**If the object is placed in 3rd

Explanation:

quadrant and the object’s surface is

coinciding with both the horizontal plane and

vertical plane which indirectly saying the

distance from both the planes is zero so both

top and front views of that object touches the

reference line.**12.Where is the position of bottom view in**

3rd angle projection?

a) left side of right hand side view

b) right side of right hand side view

c) above the front view

d) below the top view**Answer: d**Third angle projection means

Explanation:

the object is placed in third quadrant and the

top view of the object is above the front view

so the bottom view is below the front view.

This is obtained as the top view is placed

above so bottom should be placed below.**13.Where is the position of back view in 3rd**

angle projection?

a) left side of right hand side view

b) right side of right hand side view

c) above the front view

d) below the top view**Answer: b**In the third angle projection the

Explanation:

top view of the object is above the front view

and then come the side views to the left and

right of front view and then back view which

can either be kept on ends of side views but

as standard notation it is placed on right side

of right side view

**PROBLEMS ON ORTHOGRAPHIC PROJECTION**

**1.A regular cone is rested on base on**

horizontal plane the front view will be

a) circle

b) scalene triangle

c) equilateral triangle

d) isosceles triangle**Answer: d**Given the cone is regular cone

Explanation:

that means the tip of cone will be at center if

viewed from top, so for such a cone the front

view will be a triangle and in particular

isosceles triangle and the top view will be

circle.**2.A Cube is placed on horizontal plane such**

that one of the space diagonal is

perpendicular to horizontal plane the top view

will be

a) octagon

b) square

c) hexagon

d) rectangle**Answer: c**A cube is a 3 dimensional object whose length, width and thickness will be same and also given space diagonal is perpendicular to horizontal plane the top view, side view and front view will be hexagon only.

Explanation:

**3.A cylinder’s axis is perpendicular to profile**

plane the top view will be

a) circle

b) cylinder

c) rectangle

d) parallelogram**Answer: c**Given a cylinder whose axis is

Explanation:

perpendicular to a profile plane so the top

view and front view will be rectangle and side

view will be circle. If the cylinder is slightly

tilted with respect to profile then top view and

front view will be parallelogram.**4.An egg is placed vertical to horizontal**

plane the top view will be

a) ellipse

b) circle

c) oval

d) sphere**Answer: b**Given the egg is placed vertical

Explanation:

to horizontal plane the front view and side

view will be same and it might be conical,

oval or elliptical etc. the top view always be

circle. That’s why the egg boxes are made

impression of semi spheres.**5.A Cardboard is made to cut in shape of ‘A’**

and as we placed in projection planes and

from top view the legs of cardboard touch the

profile plane and cardboard is parallel to

horizontal plane. Which of the following is

wrong?

a) The front view gives thickness of

cardboard

b) The side views give width of cardboard

c) The front view gives height of cardboard

d) The top view gives thickness of cardboard**Answer: d**From given information, we

Explanation:

can understand that the cardboard is parallel

to horizontal plane and direction of ‘A’ placed

in projection planes so the front view and side

view gives thickness, the front view and top

view gives a height of cardboard and side

view and top view gives width of cardboard.**6.An object is placed in between projection**

planes, the front view and side view gives the

same rectangle and top view is giving square

the object is

a) a square cylinder, such that square base is

parallel to horizontal plane

b) a square cylinder, such that square base is

parallel to vertical plane

c) a square cylinder, such that square base is

parallel to profile plane

d) a square cylinder, such that axis is parallel

to horizontal**Answer: a**Given that the object is viewing

Explanation:

from front and side as rectangle and top view

is square so we can understand that pyramid

has height more than the side of square and

accordingly the view the object can be cuboid

(square cylinder).**7.A plate of a negligible thickness of circular**

shape is placed parallel to horizontal plane

the front view will be

a) line

b) circle

c) rectangle

d) ellipse**Answer: a**Given a plate which is in

Explanation:

circular shape given plate is parallel to

horizontal plane so the front view and side

views will be line whose length is equal to

diameter of circle as the thickness is

negligible the front view, side view can’t be

rectangle and top view will be circle.

**8.A regular tetrahedron is placed on**.

horizontal plane on one of its base, the front

view, top view and side view gives triangle

a) True

b) False**Answer: a**A regular tetrahedron is formed

Explanation:

by enclosing 4 equal triangles. And given one

of the base is parallel to horizontal so in what

angle the tetrahedron might be turned the

front view and side view will be a triangle.**9.A regular cone is placed on horizontal**

plane on its base the top view is

a) circle

b) rectangle

c) square

d) triangle**Answer: a**A regular cone generally will

Explanation:

have a base circle and constant difference in

cross-section. When a cone placed on

horizontal that is base is parallel to horizontal

plane then the front view and side views will

show triangle for both and top view will

shows circle.**10The views will change if we keep the**

object in different quadrants.

a) True

b) False**Answer: b**Whenever we change the object

Explanation:

from one quadrant to other quadrants the

relative positions of projection drawn will

change accordingly but the views of the

object will not change.**A Square pyramid is resting on vertical**

plane with base parallel to vertical plane. The

side view will be

a) triangle

b) polygon with 4 sides

c) square

d) polygon with 5 sides**Answer: a**A Square pyramid have base of

Explanation:

square which is resting on vertical plane as

said above so the side views, top view and

bottom view gives the triangle and front view

and back view gives square.**12.A triangular prism is placed in projection**

plane such that the square surface is parallel

to horizontal plane. The top view, front view

will be

a) square, rectangle respectively

b) rectangle, triangle respectively

c) rectangle, rectangle respectively

d) triangle, rectangle respectively**Answer: c**Given a triangular prism is

Explanation:

placed in projection plane such that the

square base is parallel to horizontal plane. A

triangular prism is nothing but triangular

cylinder as per position given the front view

and top view will be rectangle and side view

will be triangle.**A pentagonal prism is placed the axis is**

perpendicular to horizontal plane, the top

view and front view are

a) pentagon, rectangle

b) rectangle, rectangle

c) pentagon, triangle

d) rectangle, triangle

Answer: a

Explanation: Given a pentagonal prism is

placed in projection plane such that the axis is

perpendicular to horizontal plane. A

pentagonal prism is nothing but pentagonal

cylinder as per position given the front view

and side view will be rectangle and top view

will be pentagon.**14.A regular rhombic bi-pyramid is placed in projection planes such that one of its longest diagonal is perpendicular to vertical plane th**e**front view will be**,

a) square

b) rhombus

c) triangle

d) rectangle**Answer: bExplanation: **Given a regular rhombic bipyramid is placed in projection planes such

that one of its longest diagonal is

perpendicular to a vertical plane. As per

position given the front view and side view

will be rhombus and top view will be square

- 15.A hexagonal nut is placed on a horizontal

plane such that the axis is perpendicular to

profile plane. The top view and side view will

be

a) rectangle, hexagon

b) hexagon, rectangle

c) rectangle, rectangle

d) rectangle, circle**Answer: a**Given a hexagonal nut is placed

Explanation:

on horizontal plane such that the axis is

perpendicular to profile plane. As per position

given the front view, back view, top view and

bottom view will be rectangle and side view

will be hexagon.

**PROJECTION OF POINTS IN FIRST QUADRANT**

- 1
**.Two points are placed in 1st quadrant of**

projection planes such that the line joining the

points is perpendicular to profile plane the

side view and top view will be

a) single point, two points

b) two points, single point

c) single point, single point

d) two points, two points**Answer: a**Here given the two points such

Explanation:

that the joining line is perpendicular to profile

plane in 1st quadrant asked side view and top

view. The views in any quadrant will remain

same but the relative positions in projection

will change accordingly the quadrant. **2.A point is 5 units away from the vertical**

plane and 4 units away from profile plane and

3 units away from horizontal plane in 1st

quadrant then the projections are drawn on

paper the distance between the front view and

top view of point is

a) 7 units

b) 8 units

c) 9 units

d) 5 units**Answer: b**Since the point is 3 units away

Explanation:

from the horizontal plane the distance from

the point to xy reference line will be 3 units.

And then the point is at a distance of 5 units

from the vertical plane the distance from

reference line and point will be 5, sum is 8.**3.A point is 8 units away from the vertical**

plane and 2 units away from profile plane and

4 units away from horizontal plane in 1st

quadrant then the projections are drawn on

paper the distance between the side view and

front view of point is

a) 12 units

b) 6 units

c) 10 units

d) 8 units**Answer: c**Since the point is 2 units away

Explanation:

from the profile plane the distance from the

point to reference line will be 2 units. And

then the point is at a distance of 8 units from

the vertical plane the distance from reference

line and point will be 8, sum is 10.**4.A point is 2 units away from the vertical plane and 3 units away from profile plane and 7 units away from horizontal plane in 1st quadrant then the projections are drawn on paper the distance between the front view and side view of point is**

a) 10

b) 5

c) 9

d) 7**Answer: bExplanation:** Since the point is 3 units away

from the profile plane the distance from the

point to reference line will be 3 units. And

then the point is at a distance of 2 units from

the profile plane the distance from reference

line and point will be 2 units, sum is 5.

**A point is 20 units away from the vertical**

plane and 12 units away from profile plane

and 9 units away from horizontal plane in 1st

quadrant then the projections are drawn on

paper the distance between the side view and

front view of point is

a) 29 units

b) 21 units

c) 32 units

d) 11 units**Answer: c**Since the point is 12 units away

Explanation:

from the profile plane the distance from the

point to reference line will be 12 units. And

then the point is at a distance of 20 units from

profile plane the distance from reference line

and point will be 20 units, sum is 32.**A point is 2 units away from the vertical**

plane and 3 units away from profile plane and

7 units away from horizontal plane in 1st

quadrant then the projections are drawn on

paper the shortest distance from top view and

side view of point is

a) 10.29

b) 5.14

c) 9

d) 7**Answer: c**Since here distance from side

Explanation:

view and top view is asked for that we need

the distance between the front view and side

view (3+2); front view and top view (7+2)and

these lines which form perpendicular to each

other gives needed distance, answer is square

root of squares of both the distances √(52+92

) =10.29 units.**If a point P is placed in between the**

projection planes. The distance from side

view to reference line towards front view and

the distance between top view and reference

line towards top view will be same.

a) True

b) False**Answer: a**The projection will be drawn

Explanation:

by turning the other planes parallel to a

vertical plane in clockwise direction along the

lines of intersecting of planes. And so as we

fold again the planes at respective reference

lines and then drawing perpendiculars to the

planes at those points the point of intersection

gives the point P.**8.A point is 20 units away from the vertical**

plane and 12 units away from profile plane

and 9 units away from horizontal plane in 1st

quadrant then the projections are drawn on

paper the distance between the side view and

top view of point is

a) 29 units

b) 21 units

c) 35.8 units

d) 17.9 units**Answer: c**Since here distance from side

Explanation:

view and top view is asked for that we need

the distance between the front view and side

view (12+9); front view and top view

(9+20)and these lines which form

perpendicular to each other gives needed

distance, answer is square root of squares of

both the distances √(212+292 ) = 35.80 units.**A point is 5 units away from the vertical plane and profile plane and 10 units away from the horizontal plane in 1st quadrant then****the projections are drawn on paper the distance between the side view and top view of point is**

a) 15

b) 10

c) 32.5

d) 18.02 units**Answer: dExplanation: **Since here distance from side

view and top view is asked for that we need

the distance between the front view and side

view (5+5); front view and top view

(10+5)and these lines which form

perpendicular to each other gives needed

distance, answer is square root of squares of

both the distances √(102+152 ) = 18.02 units.

**10.A point is 15 units away from the vertical**

plane and 12 units away from profile plane

and horizontal plane in 1st quadrant then the

projections are drawn on paper the distance

between the front view and top view of point

is

a) 27

b) 15

c) 12

d) 24**Answer: a**Since the point is 12 units away

Explanation:

from the horizontal plane the distance from

the point to xy reference line will be 12 units.

And then the point is at a distance of 15 units

from the vertical plane the distance from

reference line and point will be 15, sum is 27.**11.A point is 12 units away from the vertical**

plane and profile plane 15 units away from

horizontal plane in 1st quadrant then the

projections are drawn on paper the distance

between the front view and side view of point is

a) 27

b) 15

c) 12

d) 24**Answer: d**Since the point is 12 units away

Explanation:

from the profile plane the distance from the

point to xy reference line will be 12 units.

And then the point is at a distance of 12 units

from the profile plane the distance from

reference line and point will be 12, sum is 24.**12.A point is 7 units away from the vertical**

plane and horizontal plane 9 units away from

profile plane in 1st quadrant then the

projections are drawn on paper the distance

between the front view and top view of point is

a) 27

b) 15

c) 16

d) 14**Answer: d**Since the point is 7 units away

Explanation:

from the horizontal plane the distance from

the point to xy reference line will be 7 units.

And then the point is at a distance of 7 units

from the vertical plane the distance from

reference line and point will be 7, sum is 14

units.**13.A point is 16 units away from the vertical**

plane and horizontal plane 4 units away from

profile plane in 1st quadrant then the

projections are drawn on paper the distance

between the side view and top view of point

is

a) 37.73 units

b) 32.98 units

c) 16

d) 8**Answer: d**Since here distance from side

Explanation:

view and top view is asked for that we need

the distance between the front view and side

view (4+16); front view and top view

(16+16)and these lines which form

perpendicular to each other gives needed

distance, answer is square root of squares of

both the distances √202+322 ) = 37.73 units.

**PROJECTION OF POINTS IN SECOND QUADRANT**

**1.A point is in 2nd quadrant 20 units away**

from the horizontal plane and 10 units away

from the vertical plane. Orthographic

projection is drawn. What is the distance from

point of front view to reference line, top view

point to reference line?

a) 20, 10

b) 10, 20

c) 0, 20

d) 10, 0**Answer: a**Given object is point placed in 2nd quadrant the top view gives the distance

Explanation:

from vertical plane (10) and front view gives

the distance from horizontal plane (20) both

are placed overlapped in orthographic

projection since the object is placed in the

2nd quadrant.**2.A point is in 2nd quadrant 15 units away**

from the vertical plane and 10 units away

from the horizontal plane. Orthographic

projection is drawn. What is the distance from

point of front view to reference line, top view

point to reference line?

a) 15, 10

b) 10, 15

c) 0, 15

d) 10, 0**Answer: b**Given object is point the top

Explanation:

view gives the distance from vertical plane

(15) and front view gives the distance from

horizontal plane (10) both are placed

overlapped in orthographic projection since

the planes need to rotate to draw projection as

the object is placed in the 2nd quadrant.**3.A point is in 2**

nd quadrant, 15 units away

from the vertical plane, 10 units away from

the horizontal plane and 8 units away from

the profile plane. Orthographic projection is

drawn. What is the distance from point of

front view to point of top view?

a) 5

b) 2

c) 7

d) 8**Answer: a**As the point is in 2nd quadrant

Explanation:

while drawing the projections the planes

should rotate along the hinges such that the

plane with top view overlaps the front view.

So the distance between them is difference of

distances from respective planes that is 5 (15-10) here.**4.A point is in 2nd quadrant, 15 units away**

from the vertical plane, 10 units away from

the horizontal plane and 8 units away from

the profile plane. Orthographic projection is

drawn. What is the distance from point of

front view to point of side view?

a) 25

b) 23

c) 18

d) 5**Answer: b**Side view is obtained by

Explanation:

turning the profile plane along the hinge with

vertical parallel to vertical plane. Side view

and front view have same distance from

reference line. Sum of distances from the

point to vertical plane and profile plane gives

the following that is 15+8 = 23 units.**5.A point in 2nd quadrant is 15 cm away**

from both the horizontal plane and vertical

plane and orthographic projections are drawn.

The distance between the points formed by

front view and top view is

a) 0

b) 30

c) 15

d) 15+ distance from a profile

**Answer: aExplanation: **Given the point is in 2nd

quadrant. While drawing orthographic

projections the front view and top view

overlaps and also the distance of point is

same from planes of projections so the

distance between them is zero.

**6.A point in 2nd quadrant is 10 units away**

from the horizontal plane and 13 units away

from both the vertical plane and profile plane.

Orthographic projections are drawn find the

distance from side view and front view.

a) 10

b) 13

c) 20

d) 26**Answer: d**Given the point is in 2nd

Explanation:

quadrant. The front view and side view lie

parallel to the horizontal plane when

orthographic projections are drawn. The

distance from side view to vertical reference

is 13 and distance from front view to profile

plane is 13. Sum is 13+13= 26.**7.A point in 2nd quadrant is 25 units away**

from both the horizontal plane and profile

plane and 15 units away from the vertical

plane. Orthographic projections are drawn

find the distance from side view and front view.

a) 25

b) 15

c) 30

d) 40**Answer: d**Given the point is in 2nd

Explanation:

quadrant. The front view and side view lie

parallel to the horizontal plane when

orthographic projections are drawn. The

distance from side view to vertical reference

is 15 and distance from front view to profile

plane is 25. Sum is 15+25 =40.**8.A point in 2nd quadrant is 12 units away**

from the horizontal plane and vertical plane

and 13 units away from both the profile

plane. Orthographic projections are drawn

find the distance from side view and front

view.

a) 13

b) 26

c) 25

d) 24**Answer: c**Given the point is in 2nd

Explanation:

quadrant. The front view and side view lie

parallel to the horizontal plane when

orthographic projections are drawn. The

distance from side view to vertical reference

is 12 and distance from front view to profile

plane is 13. Sum 12 + 13 =25.**9.A point in 2nd quadrant is 15 units away**

from the horizontal plane and 10 units away

from both the vertical plane and profile plane.

Orthographic projections are drawn find the

distance from side view and top view.

a) 25

b) 20.6

c) 25.49

d) 15.8**Answer: b**Given the point is in 2nd

Explanation:

quadrant. Since here distance from side view

and top view is asked for that we need the

distance between the front view and side view

(10+10); front view and top view (10-15) and

these lines which form perpendicular to each

other gives needed distance, answer is

√(202+52 ) = 20.6 units.**10.A point in 2nd quadrant is 25 units away**

from both the horizontal plane and profile

plane 15 units away from the vertical plane.

Orthographic projections are drawn find the

distance from the side view and top view.

a) 40

b) 50.99

c) 33.54

d) 41.23**Answer: dExplanation:** Given the point is in 2nd

quadrant. Since here distance from side view

and top view is asked for that we need the

distance between the front view and side view

(25+15); front view and top view (25-15) and

these lines which form perpendicular to each

other gives needed distance, answer is

√(402+102 ) = 41.23units.

**11.A point in 2nd quadrant is 12 units away**

from the horizontal plane and vertical plane

13 units away from both the profile plane.

Orthographic projections are drawn find the

distance from the side view and top view.

a) 25.6

b) 25

c) 17.69

d) 13**Answer: b**Given the point is in 2nd

Explanation:

quadrant. Since here distance from side view

and top view is asked for that we need the

distance between the front view and side view

(12+13); front view and top view (12-12) and

these lines which form perpendicular to each

other gives needed distance, answer is

√(252+02 ) = 25units.**12.A point in 2nd quadrant is 10 cm away**

from the vertical plane and 15 cm away from

the horizontal plane, orthographic projections

are drawn. What is the distance from a side

view of point to line of vertical reference?

a) 10

b) 15

c) 25

d) Can’t found**Answer: a**Given the point is in 2nd

Explanation:

quadrant. The distance from the side view of

point to line of vertical reference will be the

distance from the point to the vertical plane in

plane of projection that is as given 10 cm.**13.A point is in 2nd quadrant which is 5**

meters away from horizontal and 3 meters

away from profile plane. Orthographic

projections are drawn. What is the distance

from the top view to xy reference line?

a) 5

b) 3

c) 8

d) Can’t found**Answer: d**Given the point is in 2nd

Explanation:

quadrant. The xy reference line is between the

vertical plane and horizontal plane but

distance from a vertical point is not given in

question so we can’t found some given

information.**14.A point is in 2nd quadrant which is 7**

meters away from horizontal and 2 meters

away from profile plane. Orthographic

projections are drawn. What is the distance

from the front view to xy reference line?

a) 7

b) 2

c) 5

d) 9**Answer: a**Given the point is in 2nd

Explanation:

quadrant. The distance from front view is

given by distance between point and

horizontal plane here it is given 7 meters.

And distance from vertical reference will be 2

meters.**15.A point is in 2nd quadrant which is 8**

meters away from vertical and 6 meters away

from profile plane. Orthographic projections

are drawn. What is the distance from the side

view to vertical reference line?

a) 8

b) 6

c) 2

d) Can’t found**Answer: aExplanation:** Given the point is in 2nd

quadrant. The distance from the side view is

given by distance between point and vertical

plane here it is given 8 meters. And the

distance from front view will be 6 meters.

**PROJECTION OF POINTS IN THIRD QUADRANT**

**1.Two points are placed in 3rd quadrant of**

projection planes such that the line joining the

points is perpendicular to vertical plane the

side view and top view will be

a) single point, two points

b) two points, single point

c) single point, single point

d) two points, two points**Answer: d**Here given the two points such

Explanation:

that the joining line is perpendicular to

vertical plane in 3rd quadrant asked side view

and top view. The views in any quadrant will

remain same but the relative positions in

projection will change accordingly the

quadrant.**2.A point is 7 units away from the vertical**

plane and 3 units away from profile plane and

3 units away from horizontal plane in 3rd

quadrant then the projections are drawn on

paper the distance between the front view and

top view of point is

a) 10 units

b) 8 units

c) 9 units

d) 5 units**Answer: a**Since the point is 3 units away

Explanation:

from the horizontal plane the distance from

the point to xy reference line will be 3 units.

And then the point is at distance of 7 units

from the vertical plane the distance from

reference line and point will be 7, sum is 10.**3.A point is 9 units away from the vertical**

plane and 5 units away from profile plane and

4 units away from horizontal plane in 3rd

quadrant then the projections are drawn on

paper the distance between the side view and

front view of point is

a) 12 units

b) 14 units

c) 10 units

d) 8 units**Answer: b**Since the point is 5 units away

Explanation:

from the profile plane the distance from the

point to a reference line will be 5 units. And

then the point is at distance of 9 units from

the vertical plane the distance from reference

line and point will be 9, sum is 14.**4.A point is 7 units away from the vertical**

plane and 5 units away from profile plane and

7 units away from horizontal plane in 3rd

quadrant then the projections are drawn on

paper the distance between the front view and

side view of point is

a) 10

b) 5

c) 9

d) 12**Answer: d**Since the point is 5 units away

Explanation:

from the profile plane the distance from the

point to a reference line will be 5 units. And

then the point is at distance of 7 units from

the profile plane the distance from reference

line and point will be 7 units, sum is 12.**5.A point is 8 units away from the vertical**

plane and 12 units away from profile plane

and 9 units away from horizontal plane in 3rd

quadrant then the projections are drawn on

paper the distance between the side view and

front view of point is

a) 29 units

b) 20 units

c) 21 units

d) 17 units**Answer: cExplanation:** Since the point is 12 units away

from the profile plane the distance from the

point to a reference line will be 12 units. And

then the point is at distance of 8 units from

profile plane the distance from reference line

and point will be 8 units, sum is 20.

**6.A point is 20 cm away from the vertical**

plane and 8 units away from profile plane and

17 cm away from horizontal plane in 3rd

quadrant then the projections are drawn on

paper the shortest distance from top view and

side view of point is

a) 37

b) 44.65

c) 46.40

d) 37.53**Answer: c**Since here distance from side

Explanation:

view and top view is asked for that we need

the distance between the front view and side

view (8+20); front view and top view

(17+20)and these lines which form

perpendicular to each other gives needed

distance, answer is square root of squares of

both the distances √(28^{2}+37^{2}) =46.40 units.**7. a point P is placed in between the**

projection planes in third quadrant. The

distance from side view to reference line

towards front view and the distance between

top view and reference line towards top view

will be same.

a) True

b) False**Answer: a**The projection will be drawn

Explanation:

by turning the other planes parallel to vertical

plane in clockwise direction along the lines of

intersecting of planes. And so as we fold

again the planes at respective reference lines

and then drawing perpendiculars to the planes

at those points the point of intersection gives

the point P.**8.A point is 2 m away from the vertical plane**

and 1 m away from profile plane and 9 m

away from horizontal plane in 3rd quadrant

then the projections are drawn on paper the

distance between the side view and top view

of point is

a) 21

b) 14.86

c) 11.4

d) 10.4**Answer: b**Since here distance from side

Explanation:

view and top view is asked for that we need

the distance between the front view and side

view (1+9); front view and top view (9+2)and

these lines which form perpendicular to each

other gives needed distance, answer is square

root of squares of both the distances

√(10^{2}+11^{2}) =14.86 m.**9.A point is 6 units away from the vertical**

plane and profile plane and 10 units away

from horizontal plane in 3rd quadrant then the

projections are drawn on paper the distance

between the side view and top view of point is

a) 15

b) 16

c) 12

d) 20**Answer: d**Since here distance from side

Explanation:

view and top view is asked for that we need

the distance between the front view and side

view (6+6); front view and top view

(10+6)and these lines which form

perpendicular to each other gives needed

distance, answer is square root of squares of

both the distances √(12^{2}+16^{2}) = 20 units

**10.A point is 15 cm away from the vertical**

plane and 10 cm away from profile plane and

horizontal plane in 3rd quadrant then the

projections are drawn on paper the distance

between the front view and top view of point is

a) 27 cm

b) 15 cm

c) 12 cm

d) 25 cm**Answer: d**Since the point is 10 cm away

Explanation:

from the horizontal plane the distance from

the point to xy reference line will be 10 cm.

And then the point is at distance of 15 cm

from the vertical plane the distance from

reference line and point will be 15, sum is 25

cm.**11.A point is 6 m away from the vertical**

plane and profile plane 5 m away from

horizontal plane in 3rd quadrant then the

projections is drawn on paper the distance

between the front view and side view of point is

a) 27

b) 15

c) 12

d) 24**Answer: c**Since the point is 6 m away

Explanation:

from the profile plane the distance from the

point to xy reference line will be 6 m. And

then the point is a distance of 6 from the

profile plane the distance from reference line

and point will be 6, sum is 12.**12.A point is 50 cm away from the vertical**

plane and horizontal plane 80 cm away from

profile plane in 3rd quadrant then the

projections is drawn on paper the distance

between the front view and top view of point is

a) 130

b) 100

c) 160

d) 0**Answer: b**Since the point is 50 cm away

Explanation:

from the horizontal plane the distance from

the point to xy reference line will be 50 cm.

And then the point is at distance of 50 cm

from the vertical plane the distance from

reference line and point will be 50 cm, sum is

100 cm.**13.A point is 5 units away from the vertical**

plane and horizontal plane 4 units away from

profile plane in 3rd quadrant then the

projections are drawn on paper the distance

between the side view and top view of point

is

a) 13.45

b) 12.72

c) 19

d) 12.04**Answer: a**Since here distance from side

Explanation:

view and top view is asked for that we need

the distance between the front view and side

view (4+5); front view and top view (5+5)and

these lines which form perpendicular to each

other gives needed distance, answer is square

root of squares of both the distances √(102+92

) = 13.45 units.**14.A point is 3 m away from the vertical**

plane and horizontal planes in 3rd quadrant

then the projections are drawn on paper the

distance between the side view and vertical

reference line?

a) 3

b) 0

c) Can’t found

d) 6**Answer: a**The side view’s distance from reference line will be the perpendicular distance from the vertical plane and front view’s distance from reference line will be the perpendicular distance from the horizontal plane.

Explanation:

**15.A point is 3 m away from the vertical**

plane and 7 m away from profile plane in 3rd

quadrant then the projections are drawn on

paper the distance between the side view and

vertical reference line?

a) 6

b) 3

c) 14

d) 7**Answer: b**The side view’s distance from

Explanation:

vertical reference line will be the

perpendicular distance from vertical plane

and top view’s distance from a vertical

reference line will be the perpendicular

distance from profile plane.

**PROJECTION OF POINTS IN FOURTH QUADRANT**

**1.A point is in 4th quadrant 10 units away**

from the horizontal plane and 20 units away

from the vertical plane. Orthographic

projection is drawn. What is the distance from

point of front view to reference line, top view

point to reference line?

a) 20, 10

b) 10, 20

c) 0, 20

d) 10, 0**Answer: b**Given object is point placed in

Explanation:

4th quadrant the top view gives the distance

from the vertical plane (20) and front view

gives the distance from horizontal plane (10)

both are placed overlapped in orthographic

projection since the object is placed in 4th

quadrant.**2.A point is in 4th quadrant 15 cm away**

from the vertical plane and 10 cm away from

the horizontal plane. Orthographic projection

is drawn. What is the distance from point of

front view to reference line, top view point to

reference line?

a) 15, 10

b) 10, 15

c) 0, 15

d) 10, 0**Answer: b**Given object is point the top

Explanation:

view gives the distance from vertical plane

(15) and front view gives the distance from

horizontal plane (10) both are placed

overlapped in orthographic projection since

the planes need to rotate to draw projection as

the object is placed in 4th quadrant.**3.A point is in 4th quadrant, 5 m away from**

the vertical plane, 1 m away from the

horizontal plane and 8 units away from the

profile plane. Orthographic projection is

drawn. What is the distance from point of

front view to point of top view?

a) 6

b) 4

c) 10

d) 2**Answer: b**As the point is in 4th quadrant

Explanation:

while drawing the projections the planes

should rotate along the hinges such that the

plane with top view overlaps the front view.

So the distance between them is difference of

distances from respective planes that is 5 (5-1) here.**4.A point is in 4th quadrant, 15 dm away**

from the vertical plane, 10 dm away from the

horizontal plane and 8 units away from the

profile plane. Orthographic projection is

drawn. What is the distance from point of

front view to point of side view?

a) 25

b) 23

c) 18

d) 5

**Answer: bExplanation: **Side view is obtained by

turning the profile plane along the hinge with

vertical parallel to vertical plane. Side view

and front view have the same distance from a

reference line. Sum of distances from the

point to vertical plane and profile plane gives

the following that is 15+8 = 23 dm.

**5.A point in 4th quadrant is 30 mm away**

from both the horizontal plane and vertical

plane and orthographic projections are drawn.

The distance between the points formed by

front view and top view is

a) 0

b) 30

c) 15

d) 15+ distance from profile**Answer: a**Given the point is in the 4th

Explanation:

quadrant. While drawing orthographic

projections the front view and top view

overlaps and also the distance of point is

same from planes of projections so the

distance between them is zero.**6.A point in 4th quadrant is 13 inches away**

from the horizontal plane and 10 inches away

from both the vertical plane and profile plane.

Orthographic projections are drawn find the

distance from side view and front view.

a) 10

b) 13

c) 20

d) 26**Answer: c**Given the point is in 4th

Explanation:

quadrant. The front view and side view lie

parallel to the horizontal plane when

orthographic projections are drawn. The

distance from side view to vertical reference

is 10 and distance from front view to profile

plane is 10. Sum is 10+10= 20 inches.**7.A point in 4th quadrant is 10 units away**

from both the horizontal plane and profile

plane and 15 units away from the vertical

plane. Orthographic projections are drawn

find the distance from side view and front

view.

a) 25

b) 15

c) 30

d) 40**Answer: a**Given the point is in the 4th

Explanation:

quadrant. The front view and side view lie

parallel to the horizontal plane when

orthographic projections are drawn. The

distance from side view to vertical reference

is 15 and distance from front view to profile

plane is 10. Sum is 15+10 =25 units.**8.A point in 4th quadrant is 18 units away**

from the horizontal plane and vertical plane

and 17 units away from both the profile

plane. Orthographic projections are drawn

find the distance from side view and front view.

a) 1

b) 24

c) 35

d) 36**Answer: c**Given the point is in 4th

Explanation:

quadrant. The front view and side view lie

parallel to the horizontal plane when

orthographic projections are drawn. The

distance from side view to vertical reference

is 12 and distance from front view to profile

plane is 13. Sum is 18 + 17 =35 units.**9.A point in 4th quadrant is 8 inches away**

from the horizontal plane and 20 inches away

from both the vertical plane and profile plane.

Orthographic projections are drawn find the

distance from side view and top view.

a) 41.76

b) 20

c) 43.08 (d)16

**Answer: aExplanation:** Given the point is in the 4th

quadrant. Since here distance from side view

and top view is asked for that we need the

distance between the front view and side view

(20+20); front view and top view (20-8) and

these lines which form perpendicular to each

other gives needed distance, answer is

√(40

^{2}+12

^{2}) = 41.76 units.

**10.A point in 4th quadrant is 5 m away from**

both the horizontal plane and profile plane 3

m away from the vertical plane. Orthographic

projections are drawn find the distance from

side view and top view.

a) 8

b) 8.2

c) 10.19

d) 12.8**Answer: b**Given the point is in 4th

Explanation:

quadrant. Since here distance from side view

and top view is asked for that we need the

distance between the front view and side view

(5+3); front view and top view (5-3) and

these lines which form perpendicular to each

other gives needed distance, answer is

√(8^2+2^2 ) = 8.2 m.**11.A point in 4th quadrant is 13 inches away**

from the horizontal plane and vertical plane

10 inches away from both the profile plane.

Orthographic projections are drawn find the

distance from side view and top view.

a) 26

b) 25.6

c) 17.69

d) 13**Answer: a**Given the point is in 4th

Explanation:

quadrant. Since here distance from side view

and top view is asked for that we need the

distance between the front view and side view

(13+10); front view and top view (13-13) and

these lines which form perpendicular to each

other gives needed distance, answer is

√(26^{2}+p) = 26 inches.- 12. point in 4th quadrant is 15 cm away

from the vertical plane and 10 cm away from

the horizontal plane, orthographic projections

are drawn. What is the distance from side

view of point to line of vertical reference?

a) 10

b) 15

c) 25

d) Can’t found**Answer: b**Given the point is in 4th

Explanation:

quadrant. The distance from the side view of

point to line of vertical reference will be the

distance from the point to the vertical plane in

plane of projection that is as given 15 cm. **13.A point is in 4th quadrant which is 15**

inches away from horizontal and 30 inches

away from profile plane. Orthographic

projections are drawn. What is the distance

from the top view to xy reference line?

a) 5

b) 3

c) 8

d) Can’t found**Answer: d**

Explanation: Given the point is in 4th

quadrant. The xy reference line is between the

vertical plane and horizontal plane but

distance from vertical point is not given in

question so we can’t found some given

information.**14.A point is in 4th quadrant which is 17 dm**

away from horizontal and 12 dm away from

profile plane. Orthographic projections are

drawn. What is the distance from the front

view to xy reference line?

a) 17

b) 12

c) 5

d) 29

**Answer: aExplanation: **Given the point is in 4th

quadrant. The distance from front view is

given by distance between point and

horizontal plane here it is given 17 dm. And

distance from vertical reference will be 12

dm.

**15.A point is in 4th quadrant which is 18 mm**

away from vertical and 20 mm away from

profile plane. Orthographic projections are

drawn. What is the distance from the side

view to vertical reference line?

a) 18

b) 2

c) 20

d) Can’t found**Answer: a**Given the point is in 4th

Explanation:

quadrant. The distance from side view is

given by distance between point and vertical

plane here it is given 18 mm. And distance

from front view will be 20 mm.

**PROJECTION OF STRAIGHT LINES PARALLEL TO PLANE**

**1.If a line AB parallel to both the horizontal**

plane and vertical plane then the line AB is

a) parallel to profile plane

b) lies on profile plane

c) perpendicular to profile plane

d) inclined to profile plane**Answer: c**For any line if it is parallel to

Explanation:

two perpendicular planes then the line will

definitely perpendicular to other plane

perpendicular to both the previous planes.

And whether the line lies on the plane or not

depends on conditions given but we can’t just

imagine.**2.A line AB of length 20 cm is placed in 1st**

quadrant and parallel to profile plane and the

end A and B are 15, 10 cm away from the

horizontal plane respectively. The length of

the line in the top view is cm.

a) 11.18

b) 13.2

c) 17.32

d) 19.36**Answer: d**The distance between the

Explanation:

projectors drawn from A and B to horizontal

plane gives the length of line in top view

given the line parallel to profile plane. The

difference in distances from A and B to

horizontal plane is 5 (15-10). Given length is

20 cm so required length is √(〖20〗^2-5^2

)= 19.36 cm.**3.A line of length 15 cm is parallel to**

horizontal plane and makes an angle of 30

degrees with vertical plane. The length of line

in top view is cm.

a) 30

b) 15

c) 12.9

d) 7.5**Answer: b**Given the line is parallel to

Explanation:

horizontal plane and makes an angle of 30

degrees with vertical plane. The top view

gives the actual length of the line because the

top view is always the projection of objects

on horizontal plane to which the line is

parallel.**A line AB of length 10 cm is placed in 2nd**

quadrant parallel to vertical plane and 5 cm

away from the vertical plane and ends are 7

cm and 4 cm from horizontal plane. The top

view and front view lines apart from each

other.

a) True

b) False

**1.If a line AB parallel to both the horizontal**

plane and vertical plane then the line AB is

a) parallel to profile plane

b) lies on profile plane

c) perpendicular to profile plane

d) inclined to profile plane

Answer: c**Explanation:**For any line if it is parallel to

two perpendicular planes then the line will

definitely perpendicular to other plane

perpendicular to both the previous planes.

And whether the line lies on the plane or not

depends on conditions given but we can’t just

imagine.**2.A line AB of length 20 cm is placed in 1st**

quadrant and parallel to profile plane and the

end A and B are 15, 10 cm away from the

horizontal plane respectively. The length of

the line in the top view is cm.

a) 11.18

b) 13.2

c) 17.32

d) 19.36**Answer: d****Explanation:**The distance between the

projectors drawn from A and B to horizontal

plane gives the length of line in top view

given the line parallel to profile plane. The

difference in distances from A and B to

horizontal plane is 5 (15-10). Given length is

20 cm so required length is √(〖20〗^2-5^2

)= 19.36 cm.**3.A line of length 15 cm is parallel to**

horizontal plane and makes an angle of 30

degrees with vertical plane. The length of line

in top view is cm.

a) 30

b) 15

c) 12.9

d) 7.5**Answer: b**Given the line is parallel to

Explanation:

horizontal plane and makes an angle of 30

degrees with vertical plane. The top view

gives the actual length of the line because the

top view is always the projection of objects

on horizontal plane to which the line is

parallel.**4.A line AB of length 10 cm is placed in 2nd**

quadrant parallel to vertical plane and 5 cm

away from the vertical plane and ends are 7

cm and 4 cm from horizontal plane. The top

view and front view lines apart from each

other.

a) True

b) False

**Answer: bExplanation:** Accordingly the given

distances and length if the projections are

drawn the front view and top view intersect

with each other as for 2nd quadrant the

projections of a front view and top view

overlaps.

**5.A line of length 16 cm is parallel to**

horizontal plane and makes an angle of 30

degrees with vertical plane placed in 3rd

quadrant. The length of line in front view is

cm.

a) 32

b) 16

c) 13.8

d) 8**Answer: c**

Explanation: The line given is parallel to

horizontal plane and makes an angle of 30

degrees with vertical plane so the length of

line front view will be cosine (30)x actual

length of line =13.8 cm. There will be no

difference the line is in any quadrant.**6.A line AB of length 15 cm is placed in 4th**

quadrant and parallel to profile plane and the

end A and B are 8, 6 cm away from the

horizontal plane respectively. The length of

the line in front view is cm.

a) 14.8

b) 9

c) 7

d) 2**Answer: d**The difference in distances

Explanation:

from A and B to horizontal plane is 2 (8-6)

cm. And this front view of line in

orthographic projection is perpendicular to

the reference line as the line in projection

planes is parallel to profile plane.**A line AB of length 2 m is placed in 2nd**

quadrant and parallel to vertical plane and the

end A and B are 0.5 m and 0.3 m away from

the horizontal plane respectively. The length

of the line in top view is m.

a) 1.98

b) 1.97

c) 1.936

d) 2**Answer: a**The distance between the

Explanation:

projectors drawn from A and B to horizontal

plane gives the length of line in top view

given the line parallel to vertical plane. The

difference in distances from A and B to

horizontal plane is 0.2 (0.5-0.3). Given length

is 2 m so required length is √(22

-0.22 )=

1.98m.**A line of length 30 inches is parallel to**

profile plane and makes an angle of 60

degrees with vertical plane. The length of line

in top view is inches.

a) 30

b) 15

c) 25.9

d) 51.9**Answer: c**Given the line is parallel to

Explanation:

profile plane and makes 60 degrees with

vertical plane. There will be no need for

distance from profile plane. The length of line

from top view will be sin(60) x length of the

line= sin(60) x 30 inches =25.9 inches.**9.A line of length 25 cm is parallel to**

horizontal plane and makes an angle of 45

degrees with profile plane. The length of line

in side view is cm.

a) 25

b) 12.5

c) 88.3

d) 17.67**Answer: d**Given the line is parallel to

Explanation:

profile plane and makes 45 degrees with profile plane. There will be no need for distance from a profile plane. The length of line from top view will be sin (45) x length of the line= sin (45) x 25 cm = 17.67 cm.

**10.The length of line parallel to one of the**

plane of projection planes will show same

length if view of that line is drawn on to the

plane.

a) True

b) False**Answer: a**The length of line parallel to

Explanation:

one of the plane of projection planes will

show same length if view of that line is drawn

on to the plane because the projections on the

plane to that line are parallel to other planes.**11.A line parallel to horizontal plane and at a**

distance of 10 units to it and both the end of

line are 6 units away from the vertical plane.

Which of the following statement is false?

a) The line parallel to vertical plane

b) The side view of line gives a point

c) The length of line in front view is 10 units

d) The length of line in top view is 6 units**Answer: d**The line which is equidistance

Explanation:

from a plane is said to be parallel to it. The

line which is parallel to two perpendicular

planes will be perpendicular to other

perpendicular plane to the earlier planes.**12.A line AB of length 12 inches is**

perpendicular to profile plane at distance of 6

inches from vertical plane and 3 inches from

horizontal plane. The distance from line to xy

reference line in top view is inches.

a) 6

b) 3

c) 12

d) 0**Answer: a**Given the line perpendicular to

Explanation:

profile plane. Top view gives the length of

line and distance from the xy reference line

which is the perpendicular distance from the

line to vertical plane. It is given in question as

6 inches.**13.A line AB of length 3 m is perpendicular**

to vertical plane at distance of 2 m from

profile plane and 0.5 m from horizontal plane.

The distance from line to xy reference line in

front view is m.

a) 1.5

b) 0.5

c) 2

d) 3**Answer: b**Given the line perpendicular to

Explanation:

vertical plane. Front view shows as point and

distance from the xy reference line and

vertical reference line. The distance from

horizontal plane is given in question as 0.5 m.**14.A line AB of length 24 cm is parallel to**

vertical plane and perpendicular to profile

plane held at a distance of 5 cm away from

horizontal plane and 6 cm away from the

vertical plane. The distance from xy reference

line to line AB is cm in top view.

a) 6

b) 12

c) 5

d) 7.8**Answer: a**Asked for top view, which

Explanation:

gives the distance from vertical plane and

profile plane because the top view is parallel

to horizontal plane. Also given the line is

perpendicular to profile plane. the distance

from xy reference line to line AB will be 6

cm.**15.A line AB of length 24 cm is parallel to**

vertical plane and perpendicular to profile

plane held at a distance of 5 cm away from

horizontal plane and 6 cm away from the

vertical plane. The distance from xy reference

line to line AB is cm in front view.

a) 6

b) 12

c) 5

d) 7.8**Answer: cExplanation:** Asked for front view, which

gives the distance from horizontal plane and

profile plane because the front view is

parallel to vertical plane. Also given the line

is perpendicular to profile plane. the distance

from xy reference line to line AB will be 5

cm.

**PROJECTION OF LINE CONTAINED BY PLANE**

**1.A line AB is on the vertical plane of**

projection planes, which view from the

following gives the actual length of the line

AB?

a) Front view

b) Top view

c) Side view

d) Isometric view**Answer: a**Any line that lie or parallel to

Explanation:

any of plane in projection planes the true

length will be found at view which drawn on

to that plane that is here the line is in vertical

plane so the view which fall on vertical plane

gives the true length which is other than front

view.**2.A line AB is on the horizontal plane**

inclined to a vertical plane at 45 degrees,

which view from the following gives the

actual length of the line AB?

a) Front view

b) Top view

c) Side view

d) Isometric view**Answer: b**Any line that lie or parallel to

Explanation:

any of plane in projection planes the true

length will be found at view which drawn on

to that plane that is here the line is in

horizontal plane though it is inclined with

other planes the true length will be given at

view which fall on horizontal plane which is

top view.**3.A line AB is on the profile plane inclined**

such that ends of line are 10, 12 cm away

from horizontal plane, which view from the

following gives the actual length of the line

AB?

a) Front view

b) Top view

c) Side view

d) Isometric view**Answer: c**Any line that lie or parallel to

Explanation:

any of plane in projection planes the true

length will be found at view which drawn on

to that plane that is here the line is in profile

plane though it’s ends are at some distance

the true length will be given at view which

fall on profile plane which is side view.**4. line PQ lie in both the vertical plane and**

profile plane the front and side views of that

line coincides at vertical reference line.

a) True

b) False**Answer: a**Given a line present in both the

Explanation:

planes but it is known that two perpendicular

planes meet at a line which is reference line

so the given line might present on that line

that coincides with that line so the views also

get coincide at that line.**5.If a line RS lie on both vertical and**

horizontal plane then which of the following

two views coincides to give a line again?

a) Front, Top

b) Top, Side

c) Side, Isometric

d) Isometric, Front**Answer: a**Isometric view is that the three dimensions of a solid are not only shown in one view. Here given the line is present in vertical and horizontal plane so the line will coincide in the front view and top view.

Explanation:

- If a line LM lies on profile plane and

horizontal plane then which of the following

two views coincides to give a line again?

a) Front, Top

b) Top, Side

c) Side, Isometric

d) Isometric, Front

Answer: b

Explanation: Given the line LM is present in

both the profile and horizontal planes which

are perpendicular so the line will be at

reference line formed between them also the

line will coincide with the view of top and

side. **7.If a line AB lies on horizontal plane and**

vertical plane then which of the following

view gives a point?

a) Side view

b) Top view

c) Front view

d) Isometric view**Answer: a**Given the line AB is present in

Explanation:

both the vertical and horizontal planes which

are perpendicular so the line will be at xy

reference line formed between them which is

perpendicular to profile plane so the side

view gives the point.**8.A line of length 55 mm lies on profile**

plane whose ends are at a distance of 15 mm

and 20 mm to horizontal plane. What is the

length in top view?

a) 54.77 mm

b) 5 mm

c) 0 mm

d) 35 mm**Answer: a**Given the line is of length 55

Explanation:

mm present on profile plane and ends are at

15 and 20 mm away from horizontal plane.

As we imagine the projection planes we can

get the top view and distance relation as given

here √(55^{2}-(20-15)^{2})=54.77 mm.**9.A line of length 35 mm lies on vertical**

plane whose ends are at a distance of 15 mm

and 10 mm to profile plane. What is the

length in top view?

a) 0 mm

b) 35 mm

c) 5 mm

d) 34.64 mm**Answer: c**Given the line is of length 35

Explanation:

mm present on vertical plane and ends are at

15 and 10 mm away from a profile plane. As

we imagine the projection planes we can get

the top view and distance relation as given

here. 15-10 =5 mm.**10.A line of length 12 cm lies on profile**

plane whose ends are at a distance of 4 cm

and 5 cm to vertical plane. What is the length

in top view?

a) 5 cm

b) 12 cm

c) 1 cm

d) 11.9 cm**Answer: c**Given the line is of length 12

Explanation:

cm present on profile plane and ends are at 4

cm and 5 cm away from vertical plane. As we

imagine the projection planes we can get the

top view and distance relation as given here.

5-4 =1 cm.**11.A line of length 10 inches lies on profile**

plane whose ends are at a distance of 5 inches

and 3 inches to vertical plane. What is the

length in front view?

a) 9.79

b) 2

c) 10

d) 0

**Answer: aExplanation: **Given the line is of length 10

inches present on profile plane and ends are at

5 and 3 inches away from vertical plane. As

we imagine the projection planes we can get

the front view and distance relation as given

here. √(10

^{2}-2

^{2}) = 9.79 inches.

**12.A line of length 20 cm lies on profile**

plane whose ends are at a distance of 5 cm

and 7 cm to horizontal plane. What is the

length in top view?

a) 7

b) 14.8

c) 15

d) 2**Answer: b**Given the line is of length 20

Explanation:

cm present on profile plane and ends are at 5

and 7 cm away from horizontal plane at right

angles. As we imagine the projection planes

we can get the top view and distance relation

as given here. √(20^{2}-(7-5)^{2})= 14.8 cm.**13.A line of length 15 dm lies on vertical**

plane whose ends are at a distance of 5 dm

and 7 dm to horizontal plane. What is the

length in side view?

a) 7

b) 14.8

c) 15

d) 2**Answer: d**Given the line is of length 15

Explanation:

dm present on vertical plane and ends are at 5

and 7 dm away from horizontal plane at right

angles. As we imagine the projection planes

we can get the side view and distance relation

as given here. 7-5 =2 dm.**14.A line of length 15 cm is on vertical plane**

makes an angle of 50 degrees with horizontal

plane. What is the length of line in side view?

a) 0 cm

b) 11.49 cm

c) 9.6 cm

d) 15 cm**Answer: b**Given the line of 15 cm length

Explanation:

is present on the vertical plane and making an

angle of 50 degrees with horizontal plane so

side view’s length will be 15 x sin (50) =11.49 cm and front view will be 15 x sin (90-50).**15.A line of length 5 m is on horizontal plane**

makes an angle of 75 degrees with profile

plane. What is the length of line in side view?

a) 1.29 m

b) 4.82 m

c) 2.41 m

d) 5 m**Answer: a**Given the line of 5 m length is

Explanation:

present on the horizontal plane and making an

angle of 50 degrees with profile plane so side

view’s length will be 5 m x cos (75)=1.29 m

and in front view, it will be 5 x sin (75).

**PROJECTION OF LINE PERPENDICULAR TO ONE OF THE PLANE**

**1.A line of length 15 cm touching the vertical**

plane and perpendicular to it held at a

distance of 20 cm away from horizontal plane

and 5 cm away from the profile plane. Which

of the following is false?

a) Front view will be point

b) The line is parallel to horizontal and profile

plane

c) The length of the line in side view is 15 cm

d) One end of line is on the horizontal plane**Answer: d**As with knowledge of views we can say the views from different sides and next if a line is perpendicular to one plane of projection planes it will parallel to other planes. Given one end is on vertical plane so the other end can’t be on a perpendicular plane.

Explanation:

**2.A line of length 15 cm touching the vertical**

plane and perpendicular to it at a distance of

20 cm away from horizontal plane and 5 cm

away from the profile plane. Which view

gives the distance from line to profile plane is 5 cm?

a) Front view

b) Left side view

c) Top view

d) Right side view**Answer: c**Given a line of length 15 cm

Explanation:

touching the vertical plane and perpendicular

to it at a distance of 20 cm away from the

horizontal plane and 5 cm away from the

profile plane. So the view gives the distance

from line to profile plane is 5 cm is top view.**3.A line of length 7 m touching the vertical**

plane and perpendicular to it at a distance of 2

m away from horizontal plane and 5 m away

from the profile plane. Which view gives the

distance from line to horizontal plane is 2 m?

a) Front view

b) Left side view

c) Top view

d) Right side view**Answer: b**Given a line of length 7 m

Explanation:

touching the vertical plane and perpendicular

to it at a distance of 2 m away from horizontal

plane and 5 m away from the profile plane.

So the view gives the distance from line to

horizontal plane is 2 m.**4.A line is perpendicular to profile plane, the**

perpendicular distance from 1st end of the

line to vertical plane is 20 cm and

perpendicular distance of 2nd end of line to

horizontal plane is 10 cm. What is the

distance from 1st end of line to vertical

plane?

a) 15 cm

b) 20 cm

c) 10 cm

d) Can’t say**Answer: b**As the projection of planes are

Explanation:

mutual perpendicular plane if a line is

perpendicular to one of the planes then it

would be parallel to rest of the planes that is

both ends will be equidistant from plane.**5.A line is perpendicular to horizontal plane,**

the perpendicular distance from the line to

vertical plane is 8 inches and perpendicular

distance from the line to profile plane is 5

inches. What is the distance from the line to

vertical reference line if it is viewed from

front view?

a) 8 inches

b) 5 inches

c) 3 inches

d) 0 inches**Answer: b**Given a line is perpendicular to

Explanation:

horizontal plane, the perpendicular distance

from the line to vertical plane is 8 inches and

perpendicular distance from the line to profile

plane is 5 inches. So the distance from the

line to vertical reference line if it is viewed

from front view is 5 inches.**6.A line is perpendicular to profile plane, the**

perpendicular distance from the line to

vertical plane is 10 cm and perpendicular

distance from the line to horizontal plane is 5

cm. What is the distance from the line to

vertical reference line if it is viewed from a

side view?

a) 10 cm

b) 5 cm

c) 7.5 cm

d) 0 cm**Answer: b**Given the line is perpendicular to profile plane, the perpendicular distancefrom the line to vertical plane is 10 cm and perpendicular distance from the line to horizontal plane is 5 cm. So the distance from the line to vertical reference line if it is viewed from side view will be 5cm.

Explanation:

**7.A line of 12 cm length is perpendicular to**

profile plane and the least distance from this

line to profile plane is 6 cm. This is at a

distance of 4 cm from the vertical plane and 5

cm from the horizontal plane. What is

distance from the point on line far away from

the profile plane to profile plane?

a) 12 cm

b) 9 cm

c) 18 cm

d) 6 cm**Answer: c**Given a line of 12 cm length is

Explanation:

perpendicular to profile plane and the least

distance from this line to profile plane is 6

cm. This is at a distance of 4 cm from vertical

plane and 5 cm from the horizontal plane. So

the distance from the point on line far away

from the profile plane to profile plane is 18

cm.**8.A line can’t be perpendicular to two**

perpendicular planes at the same time.

a) True

b) False**Answer: a**Plane is collection of infinite

Explanation:

lines the lines present in it will parallel to all

the other lines in it. Perpendicular plane is

such that the lines present in it will

perpendicular to all the lines present in

perpendicular plane. So a line perpendicular

to one plane will can’t be perpendicular to

perpendicular plane.**9.A line of 12 cm length is perpendicular to**

profile plane and the least distance from this

line to profile plane is 6 cm. This is at a

distance of 4 cm from vertical plane and 5 cm

from the horizontal plane. What is distance

from the line to xy reference line in top view?

a) 6 cm

b) 4 cm

c) 5 cm

d) 0 cm**Answer: b**Given a line of 12 cm length is

Explanation:

perpendicular to profile plane and the least

distance from this line to profile plane is 6

cm. This is at a distance of 4 cm from vertical

plane and 5 cm from the horizontal plane. So

the distance from the line to xy reference line

in top view is 4 cm.**10.A line of 12 cm length is perpendicular to**

profile plane and the least distance from this

line to profile plane is 6 cm. This is at a

distance of 4 cm from vertical plane and 5 cm

from the horizontal plane. What is the

distance from the line to xy reference line in

front view?

a) 0 cm

b) 6 cm

c) 4 cm

d) 5 cm**Answer: d**Given a line of 12 cm length is

Explanation:

perpendicular to a profile plane and the least

distance from this line to profile plane is 6

cm. This is at a distance of 4 cm from vertical

plane and 5 cm from the horizontal plane. So

the distance from the line to xy reference line

in front view is 5 cm.**11.A line is in vertical plane and**

perpendicular to horizontal plane at a distance

of 10 cm from horizontal plane and 5 cm

from profile plane. What is the distance from

vertical reference line to line?

a) 10 cm

b) 0 cm

c) 5 cm

d) 7.5 cm**Answer: c**Given the line is in vertical plane and perpendicular to a horizontal plane at a distance of 10 cm from horizontal plane and 5 cm from profile plane. So the distance from vertical reference line to line is 5 cm.

Explanation:

**12.A line is in vertical plane and**

perpendicular to horizontal plane at a distance

of 10 cm from horizontal and 5 cm from

profile plane. What is the distance from xy

reference line to line in top view?

a) 10 cm

b) 5 cm

c) 6 cm

d) 0 cm**Answer: d**Top view gives the distance

Explanation:

from object to xy reference line and object to

reference line between the profile plane and

horizontal plane. But here the line is placed

vertical to horizontal plane so the view will

be point and also the line is in vertical plane

to distance will be zero.**13.If a line is perpendicular to one of the**

projection planes and lies on other two planes

then the line will lies on reference line

accordingly.

a) True

b) False**Answer: a**If a line is perpendicular to one

Explanation:

of the projection planes and lies on other two

planes then the line will lies on reference line

accordingly. As any line lies on two planes it

will definitely passes through the reference

line and so which is perpendicular to other

plane.

**PROJECTION OF LINE INCLINED TO ONE PLANE AND PARALLEL TO OTHER**

**1.A line of length 10 cm parallel to**

horizontal plane and inclined to vertical plane

with an angle of 25 degrees. What is the

length in front view?

a) 10 cm

b) 0 cm

c) 9.06 cm

d) 4.22 cm**Answer: c**Here accordingly the conditions

Explanation:

given that line is parallel to horizontal plane

and inclined to vertical plane at 25 degrees

the front view’s length is the cosine of actual

length. 10 cm x cos (25) = 9.06 cm.**2.A line of length 5 inches parallel to**

horizontal plane and inclined to vertical plane

with an angle of 35 degrees. What is the

length in side view?

a) 7.28 inches

b) 2.86 inches

c) 4.09 inches

d) 5 inches**Answer: b**Here accordingly the conditions

Explanation:

given that line is parallel to horizontal plane

and inclined to vertical plane at 35 degrees

the side view’s length is the sine of actual

length. 5 inches x sin (35) = 2.86 inches.**3.A line of length 0.3 m parallel to profile**

plane and inclined to vertical plane with an

angle of 25 degrees. What is the length in side

view?

a) 0.3 m

b) 0.27 m

c) 0.12 m

d) 0.15 m**Answer: a**Here accordingly the conditions

Explanation:

given that line is parallel to horizontal plane

and inclined to vertical plane the side view’s

length is the actual length of line but front

view or top view give different lengths.**4.A line of length 5 mm is parallel to vertical plane and inclined to horizontal plane with an angle of 55 degrees. What is the length in top view?**

a) 2.86 dm

b) 4.09 dm

c) 5 dm

d) 2.5 dm**Answer: aExplanation:** Here accordingly the conditions

given that line is parallel to vertical plane and

inclined to horizontal plane at 55 degrees the

top view’s length is the cosine of actual

length. 5 dm x cos (55) = 2.86 dm.

**5.A line of length 5 dm is parallel to vertical**

plane and inclined to horizontal plane with an

angle of 65 degrees. What is the length in side

view?

a) 2.11 dm

b) 4.53 dm

c) 5 dm

d) 0 dm**Answer: b**Here accordingly the conditions

Explanation:

given that line is parallel to vertical plane and

inclined to horizontal plane at 55 degrees the

top view’s length is the cosine of actual

length. 5 dm x sin (65) = 4.53 dm.**6.A line of length 15 cm is parallel to**

horizontal plane and 10 cm away from it and

making an angle of 45 degrees with profile

plane. The distance from line to xy reference

line in front view will be

a) 15 cm

b) 10 cm

c) 7.07 cm

d) 10.06 cm**Answer: b**Given line is of any length but

Explanation:

we are asked distance from line to xy

reference line in front view which is the

distance from the line to horizontal plane

even if the line may inclined to other planes.**7.A line of length 15 cm is parallel to**

horizontal plane and vertical plane and 10 cm

away from vertical plane. The distance from

line to vertical reference line in side view will

be

a) 10 cm

b) 15 cm

c) 0 cm

d) 10.06 cm**Answer: a**Given line is of any length but

Explanation:

given it is parallel to horizontal plane and

vertical plane and 10 cm away from the

vertical plane so as the side view gives the

distance from horizontal plane and vertical

plane here the distance is 10 cm.**8.A line of length 12 inches is parallel to**

vertical plane and 5 inches away from it and

ends of it is 3, 4 inches away from the profile

plane. The length of line in top view will be

a) 1 inch

b) 3 inches

c) 7 inches

d) 5 inches**Answer: a**The line which is parallel to

Explanation:

vertical has ends which are 3, 4 inches from

profile plane and asked for top view so the

difference between the distances of ends to

profile plane gives the length in top view 4-

3=1 inches.**9.A line of length 12 inches is parallel to**

vertical plane and 5 inches away from it and

ends of it is 3, 4 inches away from the profile

plane. The length of line in top view will be

a) 11.61 inches

b) 11.31 inches

c) 11.95 inches

d) 30.37 inches**Answer: c**Given a line of length 12 inches

Explanation:

and parallel to vertical plane and it may be

any inches away from it the top view is

calculated as given here √(12^{2}-1^{2} )= 11.95

inches. 1 is because of 4-3 inches = 1 inch.

**10.A line of length 12 inches is parallel to**

vertical plane and 5 inches away from it and

making an angle of 5 degrees with profile

plane. The distance from line to xy reference

line in top view will be inches.

a) 5 inches

b) 12 inches

c) 4.9 inches

d) 0.43 inches**Answer: a**Given line is of any length but

Explanation:

we are asked to find the distance from line to

xy reference line in top view which is the

distance from the line to vertical plane even if

the line may inclined to other planes.**11.A line of length 12 inches is parallel to**

vertical plane and 5 inches away from it and

ends make 6 and 7 inches from profile plane.

The length of line in top view will be

inches.

a) 11.61 inches

b) 11.31 inches

c) 11.95 inches

d) 30.37 inches

Answer: c

Explanation: Given a line of length 12 inches

and parallel to vertical plane and it may be

any inches away from it the top view is

calculated as given here √(12^{2}-1^{2})= 11.95

inches. 1 is because of 7-6 inches = 1 inch.**12.A line of length 12 cm is parallel to**

profile plane and 5 cm away from it and ends

make 6 and 7 cm from horizontal plane. The

length of line in side view will be cm.

a) 5 cm

b) 12 cm

c) 11.95 cm

d) 11.31 cm**Answer: b**The front view of line on or

Explanation:

parallel to vertical plane gives the actual

length. The top view of line on or parallel to

horizontal plane gives the actual length. The

side view of line on or parallel to the profile

plane gives the actual length.**13.A line of length 25 cm is parallel to**

horizontal plane and 10 cm away from it and

ends make 10 and 5 cm from profile plane.

The length of line in front view will be

inches.

a) 10 cm

b) 25 cm

c) 24.49 cm

d) 5 cm**Answer: c**Given a line of length 25 cm

Explanation:

and parallel to the horizontal plane and it may

be any inches away from it the front view is

calculated as given here √(25^{2}-5^{2})= 24.49

inches. 5 is because of 10-5 inches = 5 cm

**PROJECTION OF LINE INCLINED TO BOTH THE PLANES**

**1.A line of length 10 cm at first lied on the**

horizontal plane parallel to vertical plane and

then keeping one of its ends fixed turned 30

degrees with respect to vertical plane and

then turned 45 degrees with respect to

horizontal plane. What is the length of line in

top view?

a) 5 cm

b) 7.07 cm

c) 3.53 cm

d) 10 cm**Answer: b**First imagine the line in

Explanation:

horizontal plane parallel to vertical plane as

here we are asked to find the top view’s

length even if the line is rotated within the

horizontal plane the line length will not

change and then rotated with respect to

horizontal plane which is calculated as

follows. 10 x cos (45)= 7.07 cm.

**2.A line of length 10 cm at first lied on the**

horizontal plane parallel to vertical plane and

then keeping one of its ends fixed turned 30

degrees with respect to vertical plane and

then turned 45 degrees with respect to

horizontal plane. What is the length of line in

front view?

a) 8.66 cm

b) 7.07 cm

c) 3.53 cm

d) 6.12 cm**Answer: a**First imagine the line in

Explanation:

horizontal plane parallel to vertical plane as

here we are asked to find the front view’s

length even if the line is rotated with respect

to horizontal plane the line length will not

change and then rotated with respect to the

vertical plane which is calculated as follows

10 x cos (30) =8.66 cm.**3.A line of length 15 cm at first lied on the**

vertical plane parallel to horizontal plane and

then keeping one of its ends fixed turned 30

degrees with respect to horizontal plane and

then turned 50 degrees with respect to vertical

plane. What is the length of the line in top

view?

a) 9.6 cm

b) 7.5 cm

c) 12.99 cm

d) 11.49 cm**Answer: c**First imagine the line in vertical

Explanation:

plane parallel to horizontal plane as here we

are asked to find the top view’s length so

even if the line is rotated with respect to the

horizontal plane the line length will not

change and then rotated with respect to the

vertical plane which is calculated as follows

15 x cos (30) =12.99 cm.**4.A line of length 15 cm at first lied on the**

vertical plane parallel to horizontal plane and

then keeping one of its ends fixed turned 30

degrees with respect to horizontal plane and

then turned 50 degrees with respect to vertical

plane. What is the length of the line in front

view?

a) 9.6 cm

b) 12.99 cm

c) 7.5 cm

d) 11.49 cm**Answer: a**First imagine the line in vertical

Explanation:

plane parallel to horizontal plane as here we

are asked to find the front view’s length so

even if the line is rotated with respect to the

vertical plane the line length will not change

and also rotated with respect to the horizontal

plane which is calculated as follows 15 x cos

(50) = 9.6 cm.**5.A line of length 15 cm at first lied on the**

profile plane parallel to horizontal plane and

then keeping one of its ends fixed turned 30

degrees with respect to horizontal plane and

then turned 50 degrees with respect to profile

plane. What is the length of the line in top

view?

a) 9.6 cm

b) 12.99 cm

c) 7.5 cm

d) 11.49 cm**Answer: b**First imagine the line in profile

Explanation:

plane parallel to horizontal plane as here we

are asked to find the top view’s length so

even if the line is rotated within the horizontal

plane the line length will not change and also

rotated with respect to the horizontal plane

which is calculated as follows 15 x cos (30) =

12.99 cm.**6.A line of length 15 cm at first lied on the**

profile plane parallel to horizontal plane and

then keeping one of its ends fixed turned 30

degrees with respect to horizontal plane and

**then turned 50 degrees with respect to profileplane. What is the length of the line in sideview?**

a) 9.6 cm

b) 12.99 cm

c) 7.5 cm

d) 11.49 cm

**Answer: a**

Explanation:First imagine the line in profile

Explanation:

plane parallel to horizontal plane as here we

are asked to find the side view’s length so

even if the line is rotated within the profile

plane the line length will not change and then

rotated with respect to the profile plane which

is calculated as follows 15 x cos (50) = 9.6

cm.

**7.A line of length 20 cm at first lied on the**

profile plane parallel to vertical plane and

then keeping one of its ends fixed turned 40

degrees with respect to vertical plane and

then turned 20 degrees with respect to profile

plane. What is the length of the line in top

view?

a) 18.79 cm

b) 6.8 cm

c) 12.85 cm

d) 15.32 cm**Answer: c**First imagine the line in profile

Explanation:

plane parallel to vertical plane as here we are

asked to find the top view’s length so even if

the line is rotated within the horizontal plane

the line length will not change and then

rotated with respect to the horizontal plane

which is calculated as follows 20 x sin (40) =

12.85 cm.**8.A line of length 20 cm at first lied on the**

profile plane parallel to the vertical plane and

then keeping one of its ends fixed turned 40

degrees with respect to vertical plane and

then turned 20 degrees with respect to profile

plane. What is the length of the line in side

view?

a) 18.79 cm

b) 6.8 cm

c) 12.85 cm

d) 15.32 cm**Answer: a**First imagine the line in profile

Explanation:

plane parallel to vertical plane as here we are

asked to find the side view’s length so even if

the line is rotated within the profile plane the

line length will not change and also rotated

with respect to the profile plane which is

calculated as follows 20 x cos (20) = 18.79

cm.**9.A line of length 15 cm at first lied on the**

vertical plane parallel to horizontal plane and

then keeping one of its ends fixed turned 35

degrees with respect to horizontal plane and

then turned 40 degrees with respect to vertical

plane. What is the length of the line in front

view?

a) 9.6 cm

b) 11.4 cm

c) 12.28 cm

d) 8.6 cm**Answer: d**First imagine the line in profile

Explanation:

plane parallel to vertical plane as here we are

asked to find the side view’s length so even if

the line is rotated within the vertical plane the

line length will not change and also rotated

with respect to the vertical plane which is

calculated as follows 15 x sin (35) = 8.6 cm.**10.A line of length 15 cm at first lied on the**

vertical plane parallel to horizontal plane and

then keeping one of its ends fixed turned 35

degrees with respect to horizontal plane and

then turned 40 degrees with respect to vertical

plane. What is the length of the line in top

view?

a) 9.6 cm

b) 11.4 cm

c) 12.28 cm

d) 8.6 cm

**Answer: bExplanation:** First imagine the line in profile

plane parallel to vertical plane as here we are

asked to find the side view’s length so even if

the line is rotated within the horizontal plane

the line length will not change and also

rotated with respect to the horizontal plane

which is calculated as follows 15 x cos (40)

=11.4 cm.

**11.A line of length X cm lied on horizontal**

plane turned 60 degrees with respect to

horizontal plane by keeping one of its ends

fixed and attained length of Y cm top view.

Which of the following statement is true?

a) X =Y

b) X=2 * Y

c) X= ½ * Y

d) X >Y**Answer: c**As cos (60) =0.5. The X would

Explanation:

equal to ½ *Y. The relation would be like

this. X=Y happens if we watch from front

view. And X will not be greater than Y as X

is made to turn either it would stay same or

become less than it.**12.There will be no change in length if the**

line is viewed parallel to plane on which the

line is present and also if the line is rotated

with respect to perpendicular planes.

a) True

b) False**Answer: a**There will be no change in

Explanation:

length if the line is viewed parallel to plane

on which the line is present and also if the

line is rotated with respect to perpendicular

planes. If the line is rotated with respect to the

same plane on which it is located then a new

measure is formed.**13.A line of length 25 cm at first lied on the**

profile plane parallel to horizontal plane and

then keeping one of its ends fixed turned 55

degrees with respect to horizontal plane and

then turned 65 degrees with respect to profile

plane. What is the length of the line in top

view?

a) 22.65 cm

b) 10.56 cm

c) 14.33 cm

d) 20.47 cm**Answer: c**First imagine the line in profile

Explanation:

plane parallel to vertical plane as here we are

asked to find the side view’s length so even if

the line is rotated within the horizontal plane

the line length will not change and also

rotated with respect to the horizontal plane

which is calculated as follows 25 x cos (55)=

14.33 cm.**14.A line of length 25 cm at first lied on the**

profile plane parallel to horizontal plane and

then keeping one of its ends fixed turned 55

degrees with respect to horizontal plane and

then turned 65 degrees with respect to profile

plane. What is the length of the line in side

view?

a) 22.65 cm

b) 10.56 cm

c) 14.33 cm

d) 20.47 cm**Answer: b**First imagine the line in profile

Explanation:

plane parallel to vertical plane as here we are

asked to find the side view’s length so even if

the line is rotated within the profile plane the

line length will not change and also rotated

with respect to the profile plane which is

calculated as follows 25 x cos(65)= 10.56 cm.

**LINE CONTAINED BY A PLANE PERPENDICULAR TO BOTH THE REFERENCE PLANES**

**1.Line contained by a plane perpendicular to**

both the reference planes will lie on the___________ plane.

a) horizontal plane

b) vertical plane

c) straight plane

d) profile plane**Answer: dExplanation:** In general the horizontal plane

and the vertical plane are referred as

reference planes. So the plane which is

perpendicular to the reference planes is

profile plane which is also called as a picture

plane.

**2.If a line is in profile plane making an angle**

of 30 degrees with vertical plane. In which

angle the line makes with the horizontal

plane?

a) Can’t say

b) 90 degrees

c) 0 degrees

d) 60 degrees**Answer: d**If a line placed within the plane

Explanation:

the angles made by the line with other

perpendicular planes will be complimentary

that means their sum will be equal to 90

degrees.90 degrees- 30 degrees = 60 degrees.**3.The view which gives the actual length of**

line in profile plane is

a) front view

b) top view

c) side view

d) bottom view**Answer: c**The view which is watched

Explanation:

parallel to the plane gives the actual length of

line here as is it profile plane the view will be

side view if it comes to vertical plane the

view is a front view and if it comes to the

horizontal plane the view is top view.**4.The length of line placed in profile plane**

from front view is product of actual length

and (angle with horizontal plane).

a) cosine

b) sine

c) tangent

d) secant**Answer: b**As the angle is between the line

Explanation:

and horizontal plane the height is the length

of the line in front view. If angle with vertical

is given the length will be product of actual

length and cosine of angle between the line

and vertical plane.**5.The length of line placed in profile plane**

and making an angle of 30 degrees with the

vertical is 5 cm from front view. What is the

actual length?

a) 5 cm

b) 8.66 cm

c) 10 cm

d) 5.77 cm**Answer: d**The length of line making an

Explanation:

angle with vertical if viewed from front view

the length will be the product of length of line

cosine of angle given. L * cosine (30) =5 cm,

X= 5/ cosine (30)= 5.77 cm.**6.The length of line placed in profile plane**

and making an angle of 40 degrees with the

horizontal is 10cm from top view. What is the

actual length?

a) 7.66 cm

b) 6.4 cm

c) 13.05 cm

d) 15.55 cm**Answer: c**The length of line making an

Explanation:

angle with horizontal if viewed from front

view the length will be the product of length

of line cosine of angle given. X * cosine (40)

=10 cm, L= 10/ cosine (40)= 13.05 cm.**7.The length of line placed in profile plane**

and making an angle of 55 degrees with the

vertical is 2 m from side view. What is the**actual length?**

a) 2 m

b) 3.4 m

c) 2.4 m

d) 1.6 m**Answer: aExplanation: **The view given is side view in

this view whatever the angle made by line

with any of the other planes except the profile

plane it gives the actual length. So here the

actual length and side view length become

equal.

**8.The length of line placed in profile plane**

and making an angle of 155 degrees with the

horizontal is 3 cm from top view. What is the

actual length?

a) 3.31 cm

b) 7.09 cm

c) 1.26 cm

d) 2.7 cm**Answer: a**The line is making 155 degrees

Explanation:

is equal to the line making 25 degrees as 180-

155 =25. The length of line from top view

will be cosine of actual length. L * cosine

(25) =3 cm, L= 3/ cosine (25)= 3.31 cm.**9. line of length 20 cm is placed in profile**

plane making an angle of 65 degrees with the

horizontal. What is the length of line front

view?

a) 18.12 cm

b) 8.45 cm

c) 20 cm

d) 22.06 cm**Answer: a**The length of line making an

Explanation:

angle with horizontal if viewed from front

view the length will be the product of length

of line sine of angle given. L= length given x

sin (65), L=20 cm x sin (65) = 18.12 cm.**10.A line of length 20 cm is placed in profile**

plane making an angle of 65 degrees with the

horizontal. What is the length of line top

view?

a) 18.12 cm

b) 8.45 cm

c) 20 cm

d) 22.06 cm**Answer: b**The length of line making an

Explanation:

angle with horizontal if viewed from top view

the length will be the product of length of line

cosine of angle given. L= length given x

cosine (65), L=20 cm x cosine (65) = 8.45

cm.**11.A line of length 20 cm is placed in profile**

plane making an angle of 65 degrees with the

horizontal. What is the length of line side

view?

a) 18.12 cm

b) 8.45 cm

c) 20 cm

d) 22.06 cm**Answer: c**The view given is side view in

Explanation:

this view whatever the angle made by line

with any of the other planes except the profile

plane it gives the actual length. So here the

actual length and side view length become

equal.**12.A line of length 1 m is placed in profile**

plane making an angle of 180 degrees with

the horizontal. What is the length of line top

view?

a) 1m

b) 0 m

c) 0.5 m

d) 1.5 m**Answer: a**Given the line is making 180

Explanation:

degrees with the horizontal which is half

revolution so the length will be constant from

top view as in the side view but in front view

the length will be zero meter.

**TRUE LENGTH OF A STRAIGHT LINE AND ITSINCLINATIONS WITH THE REFERENCE PLANES**

**1.A line which is parallel to vertical plane**

and making an angle of 50 degrees with

horizontal has a length of 5 cm from side

view. What is its true length?

a) 6.52 cm

b) 7.77 cm

c) 3.2 cm

d) 3.8 cm**Answer: a**True length of line parallel to

Explanation:

vertical plane and making angle with

horizontal plane can be of two values either

from top view or side view but from front

view the length will be given length. As here

it is given side view L= 5/sin (50).**2.A line which is parallel to profile plane and**

making an angle of 40 degrees with

horizontal has a length of 4 cm from top view.

What is its true length?

a) 3.06 cm

b) 5.22 cm

c) 6.22 cm

d) 2.57 cm**Answer: b**True length of line parallel to

Explanation:

profile plane and making angle with

horizontal plane can be of two values either

from top view or front view but from side

view the length will be given length. As here

it is given top view L= 4/cos (40).**3.A line which is parallel to vertical plane**

and making an angle of 20 degrees with

profile has a length of 5 cm from top view.

What is its true length?

a) 1.71 cm

b) 14.61 cm

c) 5.32 cm

d) 4.69 cm**Answer: b**True length of line parallel to

Explanation:

vertical plane and making angle with profile

plane can be of two values either from top

view or side view but from front view the

length will be given length. As here it is given

top view L= 5/sin (20).**4. line which is parallel to vertical plane**

and making an angle of 50 degrees with

horizontal plane has a length of 5 cm from

side view. What is its true length?

a) 3.2 cm

b) 3.8 cm

c) 7.77 cm

d) 6.52 cm**Answer: c**True length of line parallel to

Explanation:

vertical plane and making angle with

horizontal plane can be of two values either

from top view or side view but from front

view the length will be given length. As here

it is given side view L= 5/cos (50).**5.Line which is parallel to horizontal plane**

and making an angle of 75 degrees with

vertical has a length of 5 cm from top view.

What is its true length?

a) 4.82 cm

b) 1.29 cm

c) 19.31 cm

d) 5 cm**Answer: d**True length of line parallel to

Explanation:

vertical plane and making angle with

horizontal can be of two values either from

top view or side view but from front view the

length will be given length. As here it is given

top view the length given is true length.**6.A line which is parallel to vertical plane is made to turn to an angle of 50 degrees with horizontal and then turned to an angle of 40****degrees with vertical plane and now the line****has a length of 5 cm from top view. What is****its true length?**

a) 7.77 cm

b) 6.52 cm

c) 3.8 cm

d) 3.2 cm**Answer: aExplanation:** True length of line parallel to

vertical plane and making angle with

horizontal can be of two values either from

top view or side view but from front view the

length will be given length. As here it is given

top view L=5/cosine (50).

**7.A line which is parallel to horizontal plane**

is made to turn to an angle of 35 degrees with

vertical and then turned to an angle of 45

degrees with horizontal plane and now the

line has a length of 8.5cm from top view.

What is its true length?

a) 7.37 cm

b) 12.02 cm

c) 10.9 cm

d) 6.01 cm**Answer: b**True length of a line parallel to

Explanation:

horizontal plane and making angle with

respect to horizontal can be of two values

either from top view or side view but from

front view the length will be given length. As

here it is given top view L= 8.5/cos(45).**8.A line which is parallel to horizontal plane**

is made to turn to an angle of 35 degrees with

vertical and then turned to an angle of 45

degrees with horizontal plane and now the

line has a length of 9 cm from front view.

What is its true length?

a) 7.37 cm

b) 5.16 cm

c) 10.9 cm

d) 15.69 cm**Answer: c**True length of a line parallel to

Explanation:

horizontal plane and making angle with

vertical can be of two values either from front

view or side view but from top view the

length will be given length. As here it is given

front view L = 9/cos(35).**9.A line parallel to profile plane is held at 30**

degrees with horizontal plane and front view

gives 2 cm of length. What is the true length

of line?

a) 1 cm

b) 1.73 cm

c) 2.3 cm

d) 4 cm**Answer: d**True length of line parallel to

Explanation:

profile plane and making angle with

horizontal can be of two values either from

top view or front view but from side view the

length will be given length. As here it is given

front view L= 2/sin (30).**10. line parallel to vertical plane is held at**

35 degrees with horizontal plane and side

view gives 3 cm of length. What is the true

length of line?

a) 5.2 cm

b) 3.66 cm

c) 2.45 cm

d) 1.72 cm**Answer: a**True length of line parallel to

Explanation:

vertical plane and making angle with

horizontal can be of two values either from

top view or side view but from front view the

length will be given length. As here it is given

side view L= 3/sin (35).**11.A line parallel to profile plane is held at**

25 degrees with vertical plane and side view

gives 2 cm of length. What is the true length

of line?

a) 4.7 cm

b) 2 cm

c) 2.2 cm

d) 0.84 cm

**Answer: bExplanation: **True length of line parallel to

profile plane and making angle with vertical

can be of two values either from top view or

front view but from side view the length will

be given length. As here it is given side view

the length will be true length.

**12.A line parallel to profile plane is held at**

85 degrees with vertical plane and top view

gives 20 cm of length. What is the true length

of line?

a) 1.7 cm

b) 229 cm

c) 20.07 cm

d) 19.9 cm**Answer: c**True length of line parallel to

Explanation:

profile plane and making angle with vertical

plane can be of two values either from top

view or front view but from side view the

length will be given length. As here it is given

top view L= 20/cos(5).**13.A line parallel to horizontal plane is held**

at 65 degrees with profile plane and front

view gives 6 cm of length. What is the true

length of line?

a) 5.43 cm

b) 14.19 cm

c) 2.5 cm

d) 6.62 cm**Answer: d**True length of line parallel to

Explanation:

horizontal plane and making angle with

profile plane can be of two values either from

front view or side view but from top view the

length will be given length. As here it is given

front view L= 6/sin (65).

**TRACES OF A LINE**

**1.When a line is inclined to a plane,**

produced if necessary. The point in which the

line meets the plane is called its

a) meeting point

b) locus

c) complete end

d) trace**Answer: dExplanation: **When a line is inclined to a

plane, it will meet that plane, produced if

necessary. The point in which the line or line

produced meets the plane is called its trace.

Even for planes if extended meet the

reference planes at its traces.

**2.If a line is parallel to both the horizontal**

plane and vertical plane. It will have two

traces.

a) True

b) False**Answer: b**The given statement is false if a

Explanation:

line is parallel to both horizontal plane and

vertical plane the line will not meet those

planes so the line will not have traces on

those planes but it will have a trace on profile

plane.**3.If a line meets horizontal plane the point of**

intersection is called

a) horizontal trace

b) regular trace

c) parallel trace

d) general trace**Answer: a**The point of intersection of a

Explanation:

line with horizontal plane is called horizontal

trace, usually denoted by H.T. as this the

point of intersection of a line with vertical

plane is called vertical trace and denoted by

V.T.**4.If a line meets vertical plane the point of**

intersection is called

a) vertical trace

b) straight trace

c) perpendicular trace

d) general trace

Answer: a

Explanation: The point of intersection of a

line with vertical plane is called vertical trace

and denoted by V.T. like this the point of

intersection of a line with horizontal plane is

called horizontal trace, usually denoted by

H.T.

**5.A line is perpendicular to horizontal plane.**

Its horizontal trace coincides with its

view.

a) front

b) top

c) side

d) isometric**Answer: b**If a line is perpendicular to the

Explanation:

horizontal plane then its horizontal trace

coincides with its top view which is a point. It

has no vertical trace because the line is

parallel to vertical plane the line will not

touch the vertical plane.**6.A line is perpendicular to vertical plane. Its**

vertical trace coincides with its view.

a) front

b) top

c) side

d) isometric**Answer: a**If a line is perpendicular to the

Explanation:

vertical plane then its vertical trace coincides

with its front view which is a point. It has no

horizontal trace because the line is parallel to

horizontal plane the line will not touch the

horizontal plane.**7.If a line has one of its ends in the**

horizontal plane. Its horizontal trace coincides

with the

a) front

b) top

c) side

d) isometric**Answer: b**As the line cuts the horizontal

Explanation:

plane the projection of that line on horizontal

plane coincides from top view and so the

horizontal trace which is the point formed by

cutting the line with horizontal plane also

coincides with the corresponding projection

end.**8.If a line has one of its ends in the vertical**

plane. Its vertical trace coincides with the

a) front

b) top

c) side

d) isometric**Answer: a**As the line cuts the vertical

Explanation:

plane the projection of that line on vertical

plane coincides from front view and so the

vertical trace which is the point formed by

cutting the line with vertical plane also

coincides with the corresponding projection

end.**9.If a line parallel to one plane then the line**

will not have trace on that plane.

a) True

b) False

Answer: a

Explanation: Trace is that the point of

intersection of line with any plane then the

point of intersection is called the trace of the

line with respect to given plane. So a line

which is going to intersect will not be parallel

to it.**10.A line AB has its one say B end in**

horizontal plane and vertical plane then

horizontal trace and vertical trace will

coincide in line.

a) xy reference

b) vertical reference

c) above xy reference

d) below xy reference

**Answer: aExplanation:** Vertical reference will be line

formed by profile plane and vertical plane.

And if trace is above or below the xy

reference line it would meet vertical or

horizontal plane at only once. So if single end

is going to meet both planes it would

definitely be on xy reference line.

**11.A line AB is parallel to vertical plane and**

inclined to horizontal plane and held 5 cm

apart from vertical plane. The expected trace

will be placed at

a) above 5 cm from xy reference, on vertical

plane

b) below 5 cm from xy reference, on

horizontal plane

c) on the xy reference

d) above 5 cm from vertical reference, on

vertical plane

**Answer: b Explanation: As the given line is parallel to vertical plane and also the line is parallel to vertical so the trace would lie below 5 cm from xy reference, on horizontal plane.**

**12.A line AB is placed in such a way that the**

distance from A and B to vertical plane are 5

and 10 cm and distances from A and B to

horizontal plane are 5 and 10 cm each. The

traces would present

a) one on above and other below reference

line

b) below the reference line

c) on xy reference line

d) above the reference line

**Answer: c**

**Explanation: **As the corresponding distances from vertical plane and horizontal plane are same we can say the line may act as symmetry for both the vertical and horizontal plane so the traces would fall on xy reference line.

**13.A line AB is placed in such a way that the**

distance from A and B to vertical plane are 5

and 10 cm and distances from A and B to

horizontal plane are 4 and 8 cm each. The

traces would present

a) one on above and other below reference

line

b) below the reference line

c) on xy reference line

d) above the reference line**Answer: c**As the corresponding distances

Explanation:

from vertical plane and horizontal plane are

in same ratio we can say the line may act as

symmetry for both the vertical and horizontal

plane so the traces would fall on xy reference

line.

**BASICS OF PLANES**

**1.Oblique planes come under**

a) planes perpendicular to both reference planes

b) planes perpendicular to one reference plane and inclined to other reference plane

c) planes inclined to both the reference planes

d) planes parallel to one reference plane and perpendicular to other reference plane

**Answer: c**

**Explanation:** Planes may be divided into two main types. i. Perpendicular planes and ii. Oblique planes, planes which are held inclined to both the reference planes are called oblique planes, the rest come under perpendicular planes.

**2. The planes which are perpendicular to both the reference plane (horizontal and vertical) are visible clearly only if we watched from**

a) front view

b) top view

c) side view

d) isometric view

**Answer: cExplanation: **As the required plane is

perpendicular to both horizontal plane and

vertical plane the top view and front view

gives a line in projections so only from side

which is perpendicular to both the plane as

the required plane the object will appear

clearly isometric view also will not give vivid

picture.

**3.A plane is held parallel to horizontal plane**

in which view we can watch drawing on that

plane?

a) Top view

b) Front view

c) Back view

d) Side view**Answer: a**If a plane is parallel to one of

Explanation:

the reference plane the projection parallel to

plane gives the true shape and size as here

plane is parallel to horizontal plane the actual

shape is watched from a top view.**4.A circle is placed at 20 degrees with**

vertical the view from top view will be

a) line

b) circle

c) ellipse

d) oval**Answer: c**If a circle is parallel to one of

Explanation:

the reference plane the projection parallel to

plane gives the true shape and size but here

plane is inclined so circle transformed to

ellipse. If observer also inclined along with

plane the circle will remain circle only.**5.A square is held 30 degrees with horizontal**

plane and turned 30 degrees with respect to

vertical plane keeping earlier condition

constant. The top view will be

a) line

b) square

c) rectangle

d) parallelogram**Answer: c**If a square is parallel to one of

Explanation:

the reference plane the projection parallel to

plane gives the true shape and size as here

plane is inclined so square transformed to

rectangle and further it turned parallel to

observer so no change in shape and size.**6.A square is held 30 degrees with horizontal**

plane and turned 30 degrees with respect to

vertical plane keeping earlier condition

constant. The front view will be

a) line

b) square

c) rectangle

d) parallelogram**Answer: d**If a square is parallel to one of

Explanation:

the reference plane the projection parallel to

plane gives the true shape and size as here

plane is inclined so square transformed to

rectangle and further it turned inclined in

other way which gives parallelogram shape

for square.**7.A triangle is placed perpendicular to both**

the reference planes (horizontal and vertical

plane) which of the following statement is

true.

a) Front view-line, top view- triangle

b) Front view-triangle, top view- line

c) Front view –line, top view-line

d) Front view-triangle, side view- line**Answer: c**The plane which is

Explanation:

perpendicular to both the reference planes

(horizontal and vertical plane) is called

profile plane or picture plane. The planes

parallel to these have a top view and front

view as straight line.

**8.When a plane is perpendicular to both the**

reference planes, its traces are perpendicular to

a) xy reference line

b) lines on horizontal plane

c) lines on vertical plane

d) lines on given plane**Answer: a**When a plane is perpendicular

Explanation:

to both the reference planes, its traces are

perpendicular to xy reference line and

intersect at xy reference line even when the

planes are inclined with both reference planes

the traces intersect at xy line.**9.A plane perpendicular to vertical plane and**

inclined to horizontal plane then the vertical

trace of that plane will be

a) parallel to horizontal plane

b) perpendicular to horizontal plane

c) parallel to xy reference line

d) inclined to horizontal plane**Answer: d**When a plane is perpendicular

Explanation:

to one of the reference planes and inclined to

the other, its inclination is shown by the angle

which its projection on the plane to which it

is perpendicular, makes with xy. Its projection

on the plane to which it is inclined, is smaller

than the plane itself.**10.A plane parallel to vertical plane then**

which of the following is false statement.

a) vertical trace will not present

b) horizontal trace is parallel to xy

c) front view give true shape and size

d) top view give true shape and size**Answer: d**When a plane is parallel to a

Explanation:

reference plane, it has no trace on that plane.

Its trace on the other reference plane, to

which the earlier reference plane is

perpendicular, is parallel to xy reference line.**11.When a plane is perpendicular to a**

reference plane, its projection on that plane

shows its true shape and size.

a) True

b) False**Answer: b**When a plane is perpendicular

Explanation:

to a reference plane, its projection on that

plane is a straight line. When a plane is

parallel to a reference plane, its projection on

that plane shows its true shape and size.**12.The traces of plane are not intersecting at**

xy reference line then the plane is

a) inclined to H.P and perpendicular to V.P

b) parallel to H.P and perpendicular to V.P

c) perpendicular to both reference planes

d) inclined to V.P and perpendicular to H.P**Answer: b**When a plane has two traces,

Explanation:

they, produced if necessary, intersect in xy

except when both are parallel to xy reference

line as in case of some oblique planes. And in

those some specific are plane parallel to one

reference and perpendicular to other.

**PROJECTION OF PLANES PARALLEL TO ONE OF THE REFERENCE PLANE**

**1.An equilateral triangle of side 10 cm is**

held parallel to horizontal plane and base is

parallel to xy reference line. The length of

line from front view will be

a) 8.66 cm

b) 10 cm

c) 0 cm

d) 12.47 cm**Answer: b**Just by visualizing we can get picture and then as the base is parallel to xy reference plane the side view and front view will be a line and front view gives line of length equal to side of triangle given and side view gives the height of triangle.

Explanation:

**2.A square of side 10 cm is held parallel to**

vertical plane and one diagonal is

perpendicular to xy reference plane. The

length of line in top view will be

a) 10 cm

b) 14.14 cm

c) 7.07 cm

d) 0 cm**Answer: b**Given the square is parallel to

Explanation:

vertical plane ad diagonal is perpendicular to

xy reference plane the top view and side gives

a line and both of same length which is equal

to diagonal length L= 2 x √(5^{2}+5^{2 }) = 14.14

cm.**3.A hexagon is placed parallel to vertical**

plane which of the following projection is

true?

a) Front view-line, top view- hexagon

b) Front view- hexagon, top view- line

c) Front view –line, top view-line

d) Top view- hexagon, side view- line**Answer: b**Given a hexagon parallel to

Explanation:

vertical plane so the plane containing

hexagon in perpendicular to horizontal plane

and profile plane. The top view and side view

gives a line and front view gives the true

shape and size of hexagon.**4.A pentagon is placed parallel to horizontal**

plane which of the following projection is

true?

a) Front view-line, top view- pentagon

b) Front view- pentagon, top view- line

c) Front view –line, top view-line

d) Top view- line, side view- line**Answer: a**Given a pentagon parallel to

Explanation:

horizontal plane so the plane containing

pentagon in perpendicular to vertical plane

and profile plane. The front view and side

view gives a line and top view gives the true

shape and size of pentagon.**5.A rectangle is placed parallel to profile**

plane which of the following projection is

true?

a) Front view-line, top view- rectangle

b) Front view- rectangle, top view- line

c) Front view –line, top view-line

d) Top view- rectangle, side view- line**Answer: c**Given a rectangle parallel to

Explanation:

profile plane so the plane containing rectangle

in perpendicular to horizontal plane and

vertical plane. The top view and front view

gives a line and side view gives the true shape

and size of hexagon.**6.A circle is placed parallel to vertical plane**a) Front view-circle, top view- line

which of the following projection is false?

b) Length in top view and side view will be

same

c) Circle is perpendicular to horizontal plane

d) The traces of plane containing this circle

intersect at xy reference line**Answer: d**Given a circle parallel to

Explanation:

vertical plane so the plane containing circle is

perpendicular to horizontal plane and profile

plane. The top view and side view gives a line

and front view gives the true shape and size

of circle. The traces will intersect at line

formed by intersection of profile plane and

horizontal plane.**7.An ellipse is placed parallel to vertical**

plane which of the following projection is

false?

a) Front view-ellipse, top view- line

b) Length in top view and side view will be

same

c) Ellipse is perpendicular to horizontal plane

d) The traces of plane containing this circle

will not intersect at xy reference line

**Answer: bExplanation:** Given an ellipse parallel to

vertical plane so the plane containing ellipse

is perpendicular to horizontal plane and

profile plane. The top view and side view

gives a line and front view gives the true

shape and size of hexagon. As the object is

ellipse which has major and minor axis the

views show different lengths.

**8.While drawing projections if a triangle is**

parallel to horizontal plane, top should be

drawn first and projections are drawn to it to

get front view.

a) True

b) False**Answer: a**Given a triangle parallel to

Explanation:

horizontal plane so the front view and side

view gives a line and top view gives the true

shape and size of triangle so top view should

be drawn first with specifications given and

then projections to further gives the front

view.**9.If a plane is parallel to one of the reference**

plane then the projection onto the other

reference planes would be a line.

a) True

b) False**Answer: a**If a plane is only parallel to

Explanation:

vertical plane then it is perpendicular to

horizontal plane and profile plane. The top

view and side view gives a line and front

view gives the true shape and size of plane.**10.An equilateral triangle of side 10 cm is**

held parallel to horizontal plane and base is

parallel to xy reference line. The length of

line from side view will be

a) 8.66 cm

b) 10 cm

c) 0 cm

d) 12.47 cm**Answer: a**Just by visualizing we can get

Explanation:

picture and then as the base is parallel to xy

reference plane the side view and front view

will be a line and front view gives line of

length equal to side of triangle given and side

view gives the height of triangle.- 1
**1.A square of side 10 cm is held parallel to**

vertical plane and one diagonal is making 45

degrees with xy reference plane. The length

of line in top view will be

a) 10 cm

b) 14.14 cm

c) 7.07 cm

d) 0 cm**Answer: a**Given the square is parallel to

Explanation:

vertical plane ad diagonal is making 45

degrees with xy reference plane the top view

and side gives a line and both of same length

which is equal to length of side of square

because in square angle between the diagonal

and side is 45 degrees. **12.The top view, front view and side view of**

a triangle parallel to vertical plane, circle

parallel to profile plane and rectangle parallel

to horizontal plane respectively are

a) line, circle, line

b) triangle, line, rectangle

c) triangle, line, line

d) line, line, line**Answer: d**If a plane is parallel to vertical

Explanation:

plane then the top view and side view gives a

line and front view gives the true shape. If a

plane is parallel to horizontal plane then the

front view and side view gives a line and top

view gives the true shape. If a plane is

parallel to profile plane then the top view and

front view gives a line and side view gives

the true shape.

**PROJECTION OF PLANES INCLINED TO ONE OF THE REFERENCE PLANE & PERPENDICULAR TO OTHER**

**1.When a plane is perpendicular to one plane**

and inclined to other reference planes then the

projections are obtained in 2 stages.

a) True

b) False**Answer: a**When a plane is inclined to a

Explanation:

reference plane, its projections may be

obtained in 2 stages. In the initial stage, the

plane is assumed to be parallel to that

reference plane to which it has to be made

inclined. It is then titled to the required

inclination in the second stage.**2.A Square is placed perpendicular to**

vertical plane and inclined to horizontal

which of the following is true?

a) Front view-line, top view- square

b) Front view- line, top view- rectangle

c) Front view –line, top view-line

d) Top view-line, side view- rectangle**Answer: b**When a plane is perpendicular

Explanation:

to one of the reference planes and inclined to

the other, its inclination is shown by an angle

which its projection on the plane to which it

is perpendicular, makes with xy. Its projection

on the plane to which it is inclined, is smaller

than the plane itself.**3.A circle is placed perpendicular to vertical**

plane and inclined to horizontal which of the

following is true?

a) Front view-line, top view- circle

b) Front view- circle, top view- circle

c) Front view –line, top view-line

d) Top view- ellipse, side view- ellipse**Answer: d**When a plane is perpendicular

Explanation:

to one of the reference planes and inclined to

the other, its inclination is shown by an angle

which its projection on the plane to which it

is perpendicular, makes with xy. Its projection

on the plane to which it is inclined, is smaller

than the plane itself.**4.A triangle is placed perpendicular to**

horizontal plane and inclined to vertical

which of the following is true?

a) Front view-line, top view- triangle

b) Front view- triangle, top view- line

c) Front view –line, top view-line

d) Top view-line, side view- line**Answer: b**When a plane is perpendicular

Explanation:

to one of the reference planes and inclined to

the other, its inclination is shown by an angle

which its projection on the plane to which it

is perpendicular, makes with xy. Its projection

on the plane to which it is inclined, is smaller

than the plane itself.**5.A triangle is placed perpendicular to**

horizontal plane and inclined to vertical

which of the following is true. H.T is

horizontal trace and V.T is vertical trace?

a) H.T- inclined to xy, V.T-inclined to xy

b) H.T- inclined to xy, V.T- perpendicular to

xy

c) H.T-inclined to xy, V.T- parallel to xy

d) H.T-parallel to xy, V.T- perpendicular to xy**Answer: b**When a plane is perpendicular

Explanation:

to one of the reference planes and inclined to

the other, its inclination is shown by an angle

which its projection on the plane to which it

is perpendicular, makes with xy.**6.A square is placed perpendicular to vertical**

plane and inclined to horizontal plane which

of the following is true. H.T is horizontal

trace and V.T is vertical trace?

a) H.T- inclined to xy, V.T- perpendicular to xy

b) H.T- inclined to xy, V.T- perpendicular to xy

c) H.T- perpendicular to xy, V.T-inclined to xy

d) H.T- parallel to xy, V.T- perpendicular to xy**Answer: bExplanation:** When a plane is perpendicular

to one of the reference planes and inclined to

the other, its inclination is shown by an angle

which its projection on the plane to which it

is perpendicular, makes with xy.

**7.If a square is placed on its base parallel to**

horizontal plane, and plane containing square

is perpendicular to horizontal plane and

inclined to vertical plane then the top view

gives a line of length equal to side of square.

a) True

b) False**Answer: a**As given conditions are simple

Explanation:

there exist no complication and base is

parallel to horizontal plane so the views may

give line and rectangle but not

parallelograms. And line of length equal to

side of square.**8.If a plane is perpendicular to vertical and**

inclined to horizontal plane with 30 degrees

then the vertical trace makes degrees

with xy reference.

a) 30 degrees

b) 60 degrees

c) 150 degrees

d) 90 degrees**Answer: a**When a plane is perpendicular

Explanation:

to one of the reference planes and inclined to

the other, its inclination is shown by an angle

which its projection on the plane to which it

is perpendicular, makes with xy. And

converse for traces.**9.If a plane is perpendicular to vertical and**

inclined to horizontal plane with 30 degrees

then the horizontal trace makes

degrees with xy reference.

a) 30 degrees

b) 60 degrees

c) 150 degrees

d) 90 degrees**Answer: d**When a plane is perpendicular

Explanation:

to one of the reference planes and inclined to

the other, its inclination is shown by an angle

which its projection on the plane to which it

is perpendicular, makes with xy. And

converse for traces.**10.A plane is perpendicular to vertical plane**

and vertical trace of a plane is making 55

degrees with the xy plane. Which of the

following is false?

a) The plane is inclined 55 degrees with the

horizontal plane

b) Front view gives a line

c) Top view gives true shape of plane

d) Horizontal trace is perpendicular to xy

plane**Answer: c**When a plane is perpendicular

Explanation:

to one of the reference planes and inclined to

the other, its inclination is shown by an angle

which its projection on the plane to which it

is perpendicular, makes with xy. And

converse for traces.**11.A****rectangle is placed perpendicular to**

horizontal plane and inclined to profile plane.

The traces would meet at

a) xy reference line

b) vertical reference line

c) the line formed by intersection of profile

plane and horizontal plane

d) above the line formed by intersection of

profile plane and horizontal plane**Answer: c**Given a rectangle is perpendicular to horizontal plane and inclined to profile plane so the traces would meet on the line formed by an intersection of profile plane and horizontal plane or the point of intersection of all planes.

Explanation:

**12.A pentagon is placed perpendicular to**

horizontal plane and inclined to profile plane

which of the following is true.

a) Front view-line, top view- pentagon

b) Front view- pentagon, top view- line

c) Front view –line, top view-line

d) Top view-line, side view- line**Answer: b**When a plane is perpendicular

Explanation:

to one of the reference planes and inclined to

the other, its inclination is shown by an angle

which its projection on the plane to which it

is perpendicular, makes with xy. Its projection

on the plane to which it is inclined is smaller

than the plane itself.**13.A hexagon is placed perpendicular to**

profile plane and inclined to horizontal plane

which of the following is true.

a) Front view-line, top view- hexagon

b) Front view- hexagon, top view- line

c) Front view –line, top view-line

d) Top view-hexagon, side view- line**Answer: d**When a plane is perpendicular

Explanation:

to one of the reference planes and inclined to

the other, its inclination is shown by an angle

which its projection on the plane to which it

is perpendicular, makes with xy. Its projection

on the plane to which it is inclined is smaller

than the plane itself.