QUESTION BANK
DESCRIPTIVE TYPE:
Mar
ks
CO
PO
BTL
A List two practical applications of Parabola.
2
1
1
2
Construct an ellipse, with distance of the focus from the directrix
B as 50mm and eccentricity as 2/3. Also, draw normal and tangent
to the curve at a point 40mm from the directrix..
5
1
1
1,6
C
Construct a cycloid, given the diameter of the generating circle as
40mm. Draw tangent to the curve at a point on it, 35 from the line
5
1
1
1,6
A
Construct a regular hexagon of side 40 mm using inscribing circle
method.
2
1
1
2
Construct a parabola, with the distance of the focus from the
B directrix as 50mm. Also, draw normal and tangent to the curve, at
a point 40mm from the directrix.
5
1
1
1,6
Draw an epi-cycloid of a circle of 40mm diameter, which rolls on
another circle of 120mm diameter for one revolution clock-wise.
C
Draw a tangent and a normal to it at a point 90 from the centre of
the directing circle.
5
1
1
1,6
A Distinguish epicycloid from hypocycloid.
2
1
1
1
Draw, a hypo-cycloid of a circle of 40mm diameter which rolls
inside another circle of 160mm diameters, for one revolution
B
counter clock-wise. Draw a tangent and a normal to it at a point
65mm from the centre of the directing circle
5
1
1
1,6
Construct a hyperbola, with the distance between the focus and
C the directrix as 50mm and eccentricity as 3/2. Also, draw normal
and tangent to the curve at a point 30mm from the directrix
5
1
1
1,6
A When eccentricity is greater than 1, then the curve is called?
2
1
1
1
UNIT-I
1
2
3
4
5
6
The area of a field is 50,000 sq m. The length and the breadth of
the field, on the map is 10 cm and 8 cm respectively. Construct a
B
diagonal scale which can read up to one meter. Mark the length of
235 meters on the scale. What is the R.F. of the scale?
5
1
1
1,6
Construct a hyperbola with its foci, 70mm apart and the major
C axis 45mm. Draw tangent to the curve at a point 20mm from the
focus. Also, determine the eccentricity of the curve.
5
1
1
1,6
A1. What are steps involved in construction of scale.
2
1
1
1
2. On a map, the distance between two points is 14 cm. The real
B distance between them is 20 km. draw a diagonal scale of this
map to read kilometers and hectometers and to measure up to 25
km. Show a distance of 17.6 km on this scale
An area of 144 sq cm on a map represents an area of 36 sq km on
the field. Find the R.F. of the scale of this map and draw a
C diagonal scale to show kilometers, hectometers and decameters
and to measure up to 10 kilometers. Indicate on the scale a
distance of 7 kilometers, 5 hectometers and 6 decameters
5
1
1
1,6
5
1
1
1,6
A Define Representative factor.
2
1
1
2
On a building plan, a line 20 cm long represents a distance of 10
m. Devise a Diagonal scale for the plain to read up to 12 m,
B
showing meters, decimeters and Centimeters. Show on your scale
the length 6.48 m and 11.14 m.
7
1
1
1,6
A room of 1728 m3 volume is shown by a cube of 216
C cm3volume. Find R.F. and construct a plain scale to measure up
to 42 m. Mark a distance of 22 m on the scale.
7
1
1
1,6
A Construct a regular hexagon of side 40mm
2
1
1
2
A 3.2 cm long line represents a length of 4 meters. Extend this
B line to measure lengths up to 25 meters and show on it units of
meter and 5 meters. Show the length of 17 meters.
7
1
1
1,6
Construct a parabola, with the length of base as 60mm and axis
C 30mm long. Also, draw tangent to the curve at a point 25mm
from the base
8
1
1
1,6
A Divide a line of 88mm into 7 parts by acute angle method.
2
1
1
7
8
1
Construct a scale of 1.5 cm = 1dm to read up to 1 meter and show
on it a length of 0.6 meters
5
1
1
Construct a rectangular hyperbola, when a point P on it is at
distances of 18mm and 34mm from two asymptotes. Also, draw a
C tangent to the curve at a point 20mm from an asymptote.
5
1
1
1,6
10
1
1
1,6
9
A Circle of 50mm diameter rolls on a horizontal line for half a
revolution clock-wise and then on a line inclined at 900 to the
horizontal for another half, clock-wise. Draw the curve traced by
a point P on the circumference of the circle, taking the top-most
point on the rolling circles the initial position of the generation
point.
10
1
1
1,6
10
A stone is thrown from a 4 m high building and at its highest
flight, the stone just crosses the top of a 10 m high tree from the
ground. Trace the path of the projectile, if the horizontal
distance between the building and the tree is 5 m. Find the
distance of the point from the building where the stone falls on
the ground
B
1,6
UNIT-II
S.No
Question
Mark
CO
PO BTL
A
Define orthographic projection.
2
2
2
2
B
State the quadrants in which the following points are situated:
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5
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3
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C
A point P is 15 mm above the H.P. and 20 mm in front of the V.P.
Another point Q is 25 mm behind the V.P. and 40 mm below the H.P.
Draw projections of p and Q keeping the distance between their
projectors equal to 90 mm. Draw straight lines joining (i) their top
views and (ii) their front views.
A
Explain 1st angle method of projection.
2
2
2
2
5
2
3
1,6
B
The top view of a 75 mm long line AB measures 65 mm, while
the length of its front view is 50 mm. it’s one end A is in the H.P.
and 12 mm in front of the V.P. draw the projections of AB and
determine its inclinations with the H.P. and the V.P.
5
2
3
1,6
C
A line AB, 65 mm long, has its end A 20 mm above the H.P.
and25 mm in front of the V.P. The end B is 40 mm above the
H.P. and 65 mm in front of the V.P. Draw the projections of AB
and shows its inclinations with the H.P. and the V.P.
A
A point ‘P’ is 20mm behind V.P and 30mm above H.P. Draw its
projections.
2
2
2
1
5
2
3
1,6
B
Draw the projections of a line AB, 90 mm long, its midpoint M
being 50 mm above the H.P. and 40 mm in front of the V.P. The
end A is 20 mm above the H.P. and 10 mm in front of the V.P.
Show the traces and the inclinations of the line with the H.P. and
the V.P.
(a) A point P; its top view is 40 mm above x-y; the front
view, 20 mm below the top view.
(b)
A point Q, its projections coincide with each other
40 mm blow x-y.
1
2
3
5
2
3
1,6
C
A pentagonal plane with a 30mm side rests on HP on an edge such that
the surface is inclined at 45ᵒ to the HP and the edge on which its rests is
inclined at 30 ᵒ to the VP. Draw its projections?
A
What is the principle of 3rd angle projection.
2
2
2
1
10
2
3
1,6
B
The front view of a line AB measures 65 mm and makes an angle
of 45 with xy. A is in the H.P. and the V.T. of the line is 15 mm
below the H.P. The line is inclined at 30 to the VP. Draw the
projections of AB and find its true length and inclination with the
H.P. Also locate its H.T
3
2
2
3
A
A hexagonal plate with a 30 mm side negligible thickness has its
surface perpendicular to the H.P and inclined at 45ᵒ to the VP. Draw its
projections when one of the sides of the plane is parallel to and 15 mm
in front of the VP.
9
2
3
1,3
B
A hexagonal plane with a 30mm side has a corner in the VP and
its surface is inclined at 45ᵒ to the VP. Draw its projections when
the front view of the diagonal through the corner in the VP is
inclined at 30ᵒ with the HP.
A
Draw the symbol of 1st angle projection
2
2
3
1,3
10
2
3
1,6
B
A plate having the shape of an isosceles triangle has base 50 mm
long and altitude 70mm. it is so placed that in the front view is
seen as an equilateral triangle of 50mm sides and one side
inclined at 45° to XY draw its top view?
A pentagonal ABCDE with a 35mm side AB in the VP and inclined at
30ᵒ to the HP. and corner A is 15mm above the HP and the corner D is
30mm in front of the VP. Draw the projections of the plane and find its
inclination with the VP.
12
2
3
1,6
Draw the projection of a circle of 75mm diameter having the end
A of the diameter AB in the HP the end B in the VP and the
surface inclined at 30° to the HP and at 60° to the VP.
12
2
3
1,6
4
5
6
7
8
UNIT –III
S.No
Mark
CO
PO
BTL
2
3
3
2
1. A hexagonal pyramid, base 25mm side and axis 50 mm long, has
B an edge of its base on the ground. Its axis is inclined at 30 to the
ground and parallel to the V.P. Draw its projections
A Distinguish between frustum and truncated solid.
10
3
3
1,6
2
3
3
2
10
3
3
1,6
B
A square prism, base 40 mm side and height 65 mm, has its axis
inclined at 45 to the H.P. and has an edge of its base, on the H.P.
and inclined at 30 to the V.P. Draw its projections.
A
Draw the cone of 40 mm base in simple position.
2
3
3
1
10
3
3
1,6
B
Draw the projections of a cube of 25 mm long edges resting on
the H.P on one of its corners with a solid diagonal perpendicular
to the V.P.
A
What are the different types of solids.
2
3
3
1
10
3
3
1,6
B
A cylinder of 40 mm diameter, 60 mm height and having its axis
vertical, is cut by a section plane, perpendicular to the V.P.,
inclined at 45 to the H.P. and intersecting the axis 32 mm above
the base. Draw its front view, sectional top view, sectional side
A
What are the different types of section planes.
2
3
3
1
10
3
1
1,6
B
A hexagonal pyramid, base 30 mm side and axis 65 mm long, is resting
on its base on the H.P. with two edges parallel to the V.P. It is cut by a
section plane, perpendicular to the V.P. inclined at 45 to the H.P. and
intersecting the axis at a point 25 mm above the base. Draw the front
view, sectional top view, sectional side view and true shape of the
section.
A
Define sectional plane and sectional view.
2
3
3
1
A
1
2
3
4
5
6
Question
Define and classify the solid.
B
7
8
A
9
A pentagonal pyramid has is base on the H.P. and the edge of the
base nearer the V.P., parallel to it. A vertical section plane,
inclined at 45 to the V.P., cuts the pyramid at a distance of 6 mm
from the axis. Draw the top view, sectional front view and the
auxiliary front view on an A.V.P. parallel to the section plane.
Base of the pyramid 30 mm sides; axis 50 mm long
10
3
1
1,6
A cube of 35 mm long edges is resting on the H.P. on one of its faces
with a vertical face inclined at 30 to the V.P It is cut by a section
plane, perpendicular to the V.P., inclined at 45 to the H.P. and passing
through the top end of the axis. (i) Draw its front view, sectional top
view and true shape of the section. (ii) Project another top view on an
auxiliary plane, parallel to the section plane.
10
3
1
A cone, base 75 mm diameter and axis 80 mm long is resting on
its base on the H.P. It is cut by a section plane perpendicular to
the V.P., inclined at 45 to the H.P. and cutting axis at a point 35
mm from the apex. Draw it front view, sectional top view,
sectional side view and true shape of the section.
10
3
1
A cube of 65 mm long edges has its vertical faces equally
inclined to the V.P. It is cut by a section plane, perpendicular to
the V.P., so that the true shape of the section is a regular hexagon.
Determine the inclination of the cutting plane with the H.P. and
draw the sectional top view and true shape of the section.
10
3
1
Mark
CO
PO
BTL
1,6
1,6
1,6
UNIT-IV
S.No
A
What is development of surface and classify them.
2
4
3
2
10
4
3
1,6
B
A hexagonal prism base 20mm, axis 40 mm long is resting on HP
with an edge of the base parallel to VP. It is cut by two section
planes; one is perpendicular to VP and inclined at 300to HP and
cuts left longer edge and upto the centre of prism. Another
section plane perpendicular to VP and inclined at 600 to HP cuts
the prism from centre of prism to extreme right. Draw the
development of the lateral surface of the hexagonal prism
A
What is lateral surface development.
2
4
3
2
1
2
Question
10
4
3
1,6
B
A cylinder of base 50 mm diameter and axis 60 mm long is
resting on its base on HP. It is cut by section plane perpendicular
to VP and Inclined at 450 to HP and cuts all the generators from
extreme left generator. Develop the lateral surface of the
truncated cylinder
A
What are the applications of developments of surface.
2
4
3
2
A cone of base diameter 50mm and axis 60mm is resting on its base on
the HP. a section plane perpendicular to VP. And inclined at 45ᵒ to HP,
bisects the axis of the cone. Draw the development of its lateral surface.
10
4
3
1,6
A
What is frustum of a solid.
2
4
3
2
10
4
3
1,6
B
A square hole of side 25mm is cut in a cylindrical drum of
diameter 50mm and height 70mm. the faces of the hole are
inclined at 45 °to the HP. and axis interacts with that of the drum
at right angles. Draw the developments of its lateral surface.
A
What is truncated solid.
2
4
3
2
10
4
3
1,6
2
4
3
2
3
B
4
5
B
6
A
A square pyramid of base 30 mm, axis 45 mm is resting on HP on its
base with an edge is parallel to VP. It is cut by a section plane
perpendicular to VP and inclined at 450 to HP and cuts the axis 20 mm
below the apex. Draw the development of the lateral surface of the
square pyramid.
Draw the lateral surface development of a sqaure pyramid.
Draw the development of cylinder as per figures given below.
10
4
3
6
Draw the development of a cone as per figure given below.
12
4
3
6
B
7
UNIT-V
S.NO
1
QUESTION
Mark
CO
PO
BTL
A
Distinguish between isometric view and orthographic
view.
2
5
1
2
10
5
1
1,6
B
Draw the isometric view of a frustum of a Hexagonal
Pyramid when it is resting on its base on the H.P with
two sides of the base parallel to the V.P. The side of the
base is 20 mm and top 8 mm. The height of the frustum
is 55 mm
2
A 1. Compare isometric view with isometric projections
2
5
1
2
10
5
1
1,6
3
2. Draw the Isometric View of a Cylinder of diameter 46
mm and height 60 mm when it is resting on one of its
B
ends on the H.P. It is cut by a plane perpendicular to the
V.P and inclined at 450 to the H.P. The plane passes
through a point on the axis located at 15 mm form the top
A 3. What is non isometric plane?
2
5
1
1
Draw the elevation, top view and side view of the objects
shown in figures.
10
5
1
1,6
What do you mean by isometric drawing ?
2
5
1
B
4.
4
A
1
10
5
1
1,6
2
5
1
2
10
5
1
B
5
A
B
List out the advantages of isometric over orthographic
projections.
1,6
15
5
1
1,6
15
5
1
1,6
6
7
15
5
1
1,6
15
5
1
1,6
15
5
1
1,6
8
9
Two views of a casting are shown in the figure 2
below. Draw the isometric view of the Casting
10