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Note: Answer all questions of Part? A and answer any five questions from Part - B.
PART ? A (35 Marks)
1. Match the following: (4)
(a) For a reducing scale (i) any two polygons passing through its axis
equal and regular pentagons
(c) Ellipse is an (iii) Parabola
(d) Combination of two polygons (iv) Dodecahedran
which gives two intersection points (v) R.F < 1.0
method? Explain with a neat sketch. (4)
3. Draw the projections of a square plane, of size 40 mm, parallel to and 30 mm above HP.
Its one side is in V.P.
(
)
4. In the development of surfaces of a hexagonal pyramid, give the number of squares,
rectangles, triangles and hexagons marked.
(
)
5. State the various applications of intersection of surfaces.
(
3
6. Explain the method of obtaining true shape of a section. (2)
7. Explain the principle of Vernier scale.
(
3
8. Distinguish between an 'Isometric projection' and 'Isometric view' of an object and what
is solids of Revolution?
(
5
9. Inscribe a hexagon in a circle of 50 mm diameter. (4)
10. Draw an involute to an equilateral triangle of 30 mm side. (4)
PART ? B (65 Marks)
11 (a) Construct an ellipse with an eccentricity of 314. The distance of the focus from the
(
5
)
(b) On a map, the distance between two points is 14 cm. The actual distance between
hectameters. The scale should be long enough to read upto 25 km. Also show a
distance of 17.6 km, 13.5 km, 10.0 km on this scale. (8)
12 (a) Plan and elevation of a line AB, 60 mm long, measures 54 mm and 45 mm
respectively. End 'A' is 15 mm from H.P and 10 mm from VP. Draw the projections
quadrant. (8)
(b) Construct a hypocycloid for a rolling circle 50 mm diameter and directing circle 180
mm diameter.
(5)
edges. The plane of the pentagon is inclined at 45 to the H.P. and the perpendicular
drawn from the mid point of the resting edge makes an angle of 30' with the V.P. (13)
14. A hexagonal prism is standing in H.P. on one of its edges with this edge perpendicular to
the V.P. The axis makes an angle of 40 ' with H.P. It is cut by a section plane that is
sectional views and true shape of the section. Base side is 40 mm, axis height is 65 mm. (13)
15 A right circular cone, diameter of base 50 mm and height 65 mm, rests on its base rim
on H.P. with its axis inclined at 45 to it such that the top view of the axis, inclined at 30
to VP. Draw its projections. (13)
rectangular face on ground plane. A right circular cylinder, of dia. 35 mm and 50 mm
long, rests centrally on top rectangular surface of the prism. Draw isometric projection of
the solids.
(13)
The larger size pipe is vertical and the smaller pipe makes an angle of 45' with the larger
one. The axes of the pipes are 15 mm apart. Draw the projections of the pipes showing
the curves of intersection.
(13)
Note: Answer all questions of Part? A and answer any five questions from Part - B.
PART ? A (35 Marks)
1. Match the following: (4)
(a) For a reducing scale (i) any two polygons passing through its axis
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(b) Solid bounded by twelve (ii) Isometric projection of a circleequal and regular pentagons
(c) Ellipse is an (iii) Parabola
(d) Combination of two polygons (iv) Dodecahedran
which gives two intersection points (v) R.F < 1.0
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2. How is the true length and true inclination of a line is obtained by the auxiliary planemethod? Explain with a neat sketch. (4)
3. Draw the projections of a square plane, of size 40 mm, parallel to and 30 mm above HP.
Its one side is in V.P.
(
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3)
4. In the development of surfaces of a hexagonal pyramid, give the number of squares,
rectangles, triangles and hexagons marked.
(
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3)
5. State the various applications of intersection of surfaces.
(
3
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)6. Explain the method of obtaining true shape of a section. (2)
7. Explain the principle of Vernier scale.
(
3
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)8. Distinguish between an 'Isometric projection' and 'Isometric view' of an object and what
is solids of Revolution?
(
5
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)9. Inscribe a hexagon in a circle of 50 mm diameter. (4)
10. Draw an involute to an equilateral triangle of 30 mm side. (4)
PART ? B (65 Marks)
11 (a) Construct an ellipse with an eccentricity of 314. The distance of the focus from the
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directrix is 70 mm. Draw tangent and normal to the curve from a suitable point.(
5
)
(b) On a map, the distance between two points is 14 cm. The actual distance between
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the points is 20 km. Draw a diagonal scale to read this map in kilometers andhectameters. The scale should be long enough to read upto 25 km. Also show a
distance of 17.6 km, 13.5 km, 10.0 km on this scale. (8)
12 (a) Plan and elevation of a line AB, 60 mm long, measures 54 mm and 45 mm
respectively. End 'A' is 15 mm from H.P and 10 mm from VP. Draw the projections
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and determine its inclinations to the reference planes, when the line is in firstquadrant. (8)
(b) Construct a hypocycloid for a rolling circle 50 mm diameter and directing circle 180
mm diameter.
(5)
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13 Draw the projections of a pentagonal plane, side 30 mm resting on the H.P. on one of itsedges. The plane of the pentagon is inclined at 45 to the H.P. and the perpendicular
drawn from the mid point of the resting edge makes an angle of 30' with the V.P. (13)
14. A hexagonal prism is standing in H.P. on one of its edges with this edge perpendicular to
the V.P. The axis makes an angle of 40 ' with H.P. It is cut by a section plane that is
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perpendicular to both V.P. and the axis. The section plane bisects the? axis. Draw itssectional views and true shape of the section. Base side is 40 mm, axis height is 65 mm. (13)
15 A right circular cone, diameter of base 50 mm and height 65 mm, rests on its base rim
on H.P. with its axis inclined at 45 to it such that the top view of the axis, inclined at 30
to VP. Draw its projections. (13)
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16. A right regular hexagonal prism, edge of base 25 mm and 60 mm long, lies on itsrectangular face on ground plane. A right circular cylinder, of dia. 35 mm and 50 mm
long, rests centrally on top rectangular surface of the prism. Draw isometric projection of
the solids.
(13)
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17. Two pipes one of 25 mm diameter and another of 50 mm diameter are joined together.The larger size pipe is vertical and the smaller pipe makes an angle of 45' with the larger
one. The axes of the pipes are 15 mm apart. Draw the projections of the pipes showing
the curves of intersection.
(13)
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