Engineering Graphics MCQ’S Unit-2

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
Explanation: The object will generally kept
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
Explanation: In orthographic projection, the
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
Explanation: 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.

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
Explanation: Perspective projection gives the
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
Explanation: In orthographic projection and
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
Explanation: By viewing in mutual
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
Explanation: The vertical plane and
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
Explanation: Continuous thick line is used
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
Explanation: Orthographic projection is the
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
Explanation: In Oblique projection the
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
Explanation: In general for simple objects
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
Explanation: The front view will be
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
Explanation: The front view will be shown
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
Explanation: The front view will be
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: b
Explanation: 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
Explanation: The position of reference
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
Explanation: The position of reference
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
Explanation: The position of reference
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
Explanation: The position of the views with
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
Explanation: According to the standards it is
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: c
Explanation: 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
Explanation: If we imagine the principal
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
Explanation: If we imagine the principal
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
Explanation: The line formed by an
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
Explanation: Vertical plane will be vertical to
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
Explanation: The negative horizontal plane
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
Explanation: Given the direction is anti-clockwise direction so the angle in 270
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
Explanation: We can keep an object in any
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
Explanation: First angle projection is
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
Explanation: The observer is always at the
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
Explanation: As the object is in first
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
Explanation: As the object is in first
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
Explanation: In first angle projection the
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
Explanation: In first angle projection the
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
Explanation: Reference line will be the xy
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
Explanation: In the first angle projection the
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
Explanation: In the first angle projection the
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: d
Explanation: 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
Explanation: First angle projection means
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
Explanation: In the first angle projection the
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
Explanation: We can keep object in any
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
Explanation: Third angle projection is
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
Explanation: The observer is always at the
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: a
Explanation: 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
Explanation: 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.
6.In 3rd angle projection, the left side view
will be left side of front view.
a) True
b) False
Answer: a
Explanation: In third angle projection the
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
Explanation: In third angle projection the
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
Explanation: Reference line will be the xy
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
Explanation: 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 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: a
Explanation: 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
Explanation: If the object is placed in 3rd
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
Explanation: Third angle projection means
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
Explanation: In the third angle projection the
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
Explanation: Given the cone is regular cone
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
Explanation: 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.

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
Explanation: Given a cylinder whose axis is
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
Explanation: Given the egg is placed vertical
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
Explanation: From given information, we
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
Explanation: Given that the object is viewing
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
Explanation: Given a plate which is in
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
Explanation: A regular tetrahedron is formed
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
Explanation: A regular cone generally will
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
Explanation: Whenever we change the object
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
Explanation: A Square pyramid have base of
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
Explanation: Given a triangular prism is
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 the front view will be,

a) square
b) rhombus
c) triangle
d) rectangle
Answer: b
Explanation: 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
Explanation: Given a hexagonal nut is placed
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
Explanation: Here given the two points such
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
Explanation: Since the point is 3 units away
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
Explanation: Since the point is 2 units away
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: b
Explanation: 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
Explanation: Since the point is 12 units away
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
Explanation: Since here distance from side
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
Explanation: The projection will be drawn
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
Explanation: 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+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: d
Explanation: 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
Explanation: Since the point is 12 units away
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
Explanation: Since the point is 12 units away
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
Explanation: Since the point is 7 units away
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
Explanation: Since here distance from side
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
Explanation: Given object is point placed in 2nd quadrant the top view gives the distance
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
Explanation: Given object is point the top
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
Explanation: As the point is in 2nd quadrant
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
Explanation: Side view is obtained by
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: a
Explanation: 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
Explanation: Given the point is in 2nd
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
Explanation: Given the point is in 2nd
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
Explanation: Given the point is in 2nd
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
Explanation: 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
(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: d
Explanation: 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
Explanation: 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
(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
Explanation: Given the point is in 2nd
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
Explanation: Given the point is in 2nd
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
Explanation: Given the point is in 2nd
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: a
Explanation: 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
Explanation: Here given the two points such
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
Explanation: Since the point is 3 units away
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
Explanation: Since the point is 5 units away
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
Explanation: Since the point is 5 units away
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: c
Explanation: 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
Explanation: Since here distance from side
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 √(28²+37²) =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
Explanation: The projection will be drawn
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
Explanation: Since here distance from side
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
√(10²+11² ) =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
Explanation: Since here distance from side
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 √(12²+16² ) = 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
Explanation: Since the point is 10 cm away
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
Explanation: Since the point is 6 m away
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
Explanation: Since the point is 50 cm away
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
Explanation: Since here distance from side
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
Explanation: 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.

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
Explanation: The side view’s distance from
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
Explanation: Given object is point placed in
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
Explanation: Given object is point the top
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
Explanation: As the point is in 4th quadrant
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: b
Explanation: 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
Explanation: Given the point is in the 4th
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
Explanation: Given the point is in 4th
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
Explanation: Given the point is in the 4th
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
Explanation: Given the point is in 4th
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: a
Explanation: 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
√(40²+12² ) = 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
Explanation: Given the point is in 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
(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
Explanation: Given the point is in 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
(13+10); front view and top view (13-13) and
these lines which form perpendicular to each
other gives needed distance, answer is
√(26²+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
Explanation: Given the point is in 4th
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: a
Explanation: 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
Explanation: Given the point is in 4th
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
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
Explanation: Given the line is parallel to
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
Explanation: Given the line is parallel to
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: b
Explanation: 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
Explanation: The difference in distances
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
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 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
Explanation: Given the line is parallel to
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
Explanation: Given the line is parallel to
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
Explanation: 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 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
Explanation: The line which is equidistance
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
Explanation: Given the line perpendicular to
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
Explanation: Given the line perpendicular to
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
Explanation: Asked for top view, which
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: c
Explanation: 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
Explanation: Any line that lie or parallel to
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
Explanation: Any line that lie or parallel to
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
Explanation: Any line that lie or parallel to
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
Explanation: Given a line present in both the
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
Explanation: 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.

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
Explanation: Given the line AB is present in
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
Explanation: Given the line is of length 55
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 √(55²-(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
Explanation: Given the line is of length 35
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
Explanation: Given the line is of length 12
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: a
Explanation: 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. √(10²-2² ) = 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
Explanation: Given the line is of length 20
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. √(20²-(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
Explanation: Given the line is of length 15
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
Explanation: Given the line of 15 cm length
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
Explanation: Given the line of 5 m length is
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
Explanation: 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.

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
Explanation: Given a line of length 15 cm
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
Explanation: Given 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.
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
Explanation: As the projection of planes are
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
Explanation: Given 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. 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
Explanation: 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.

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
Explanation: Given 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. 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
Explanation: Plane is collection of infinite
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
Explanation: Given 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. 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
Explanation: Given a line of 12 cm length is
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
Explanation: 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.

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
Explanation: Top view gives the distance
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
Explanation: 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. 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
Explanation: Here accordingly the conditions
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
Explanation: Here accordingly the conditions
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
Explanation: Here accordingly the conditions
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: a
Explanation: 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
Explanation: 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 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
Explanation: Given line is of any length but
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
Explanation: Given line is of any length but
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
Explanation: The line which is parallel to
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
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 √(12²-1² )= 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
Explanation: Given line is of any length but
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 √(12²-1² )= 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
Explanation: The front view of line on or
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
Explanation: Given a line of length 25 cm
and parallel to the horizontal plane and it may
be any inches away from it the front view is
calculated as given here √(25²-5² )= 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
Explanation: First imagine the line in
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
Explanation: First imagine the line in
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
Explanation: First imagine the line in vertical
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
Explanation: First imagine the line in vertical
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
Explanation: First imagine the line in profile
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 profile
plane. What is the length of the line in side
view?
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
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
Explanation: First imagine the line in profile
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
Explanation: 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 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
Explanation: 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 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: b
Explanation: 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
Explanation: As cos (60) =0.5. The X would
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
Explanation: 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. 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
Explanation: 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 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
Explanation: 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 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: d
Explanation: 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
Explanation: If a line placed within the plane
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
Explanation: The view which is watched
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
Explanation: As the angle is between the line
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
Explanation: The length of line making an
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
Explanation: The length of line making an
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: a
Explanation: 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
Explanation: The line is making 155 degrees
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
Explanation: The length of line making an
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
Explanation: The length of line making an
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
Explanation: 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.
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
Explanation: Given the line is making 180
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 ITS
INCLINATIONS 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
Explanation: True length of line parallel to
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
Explanation: True length of line parallel to
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
Explanation: True length of line parallel to
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
Explanation: True length of line parallel to
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
Explanation: 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 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: a
Explanation: 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
Explanation: True length of a line parallel to
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
Explanation: True length of a line parallel to
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
Explanation: True length of line parallel to
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
Explanation: 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
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: b
Explanation: 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
Explanation: True length of line parallel to
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
Explanation: True length of line parallel to
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: d
Explanation: 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
Explanation: The given statement is false if a
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
Explanation: The point of intersection of a
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
Explanation: If a line is perpendicular to the
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
Explanation: If a line is perpendicular to the
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
Explanation: As the line cuts the horizontal
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
Explanation: As the line cuts the vertical
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: a
Explanation: 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
Explanation: As the corresponding distances
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: c
Explanation: 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
Explanation: If a plane is parallel to one of
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
Explanation: If a circle is parallel to one of
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
Explanation: If a square is parallel to one of
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
Explanation: If a square is parallel to one of
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
Explanation: The plane which is
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
Explanation: When a plane is perpendicular
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
Explanation: When a plane is perpendicular
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
Explanation: When a plane is parallel to a
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
Explanation: When a plane is perpendicular
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
Explanation: When a plane has two traces,
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
Explanation: 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.

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
Explanation: Given the square is parallel to
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 √(5²+5²) = 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
Explanation: Given a hexagon parallel to
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
Explanation: Given a pentagon parallel to
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
Explanation: Given a rectangle parallel to
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
which of the following projection is false?
a) Front view-circle, top view- line
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
Explanation: Given a circle parallel to
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: b
Explanation: 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
Explanation: Given a triangle parallel to
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
Explanation: If a plane is only parallel to
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
Explanation: 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.
11.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
Explanation: Given the square is parallel to
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
Explanation: If a plane is parallel to vertical
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
Explanation: When a plane is inclined to a
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
Explanation: 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. 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
Explanation: 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. 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
Explanation: 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. 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
Explanation: 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.
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: b
Explanation: 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
Explanation: As given conditions are simple
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
Explanation: 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. 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
Explanation: 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. 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
Explanation: 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. 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
Explanation: 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.

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
Explanation: 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. 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
Explanation: 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. Its projection
on the plane to which it is inclined is smaller
than the plane itself.

Prabakaran S

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