BE/BTech (First/Second) Semester Exam January 2010 (Regulation 2008)
(Common to all Branches)
Time: 3 hrs
Maximum Marks: 100
Minimum Marks: 35
PAPER CODE Q2901
Time: 3 hrs
Maximum Marks: 100
Minimum Marks: 35
PAPER CODE Q2901
Note: Answer ALL Questions.
1. a) Draw a hyperbola when the distance between its focus and directrix is 50 mm and eccentricity is 3/2. Also draw the tangent and normal at a point 25 mm from the directrix. 20 marks
Ans: Refer problem 5.24 Page 5.20 of ED - Basant Agrawal, TMH.
Ans: Refer problems 7.1-7.10 Page 7.10-7.13 of ED - Basant Agrawal, TMH.
2. a) A line PQ has its end P, 10 mm above the H.P. and 20 mm in front of the V.P. The end Q is 35 mm in front of the V.P. The front view of the line measures 75 mm. The distance between the end projectors is 50 mm. Draw the projections of the line and find its true length and its true inclinations with the V.P and H.P. 20 marks
Ans: Refer problem 9.31 Page 9.33 of ED - Basant Agrawal, TMH.
OR
2. b) Draw the projections of a circle of 70 mm diameter resting on the H.P. on a point A of the circumference. The plane is inclined to the H.P. such that the top view of it is an ellipse of minor axis 40 mm. The top view of the diameter, through the point A is making an angle of 45◦ with the V.P. Determine the inclination of the plane with the H.P. 20 marks
Ans: Refer problem 10.23 Page 10.24 of ED - Basant Agrawal, TMH.
3. a) An equilateral triangular prism 20 mm side of base and 50 mm long rests with one of its shorter edges on H.P. such that the rectangular face containing the edge on which the prism rests is inclined at 30◦ to H.P. The shorter edge resting on H.P. is perpendicular to V.P. 20 marks
Ans: Refer problem 11.19 Page 11.13 of ED - Basant Agrawal, TMH.
OR
3. b) A square pyramid of base 40 mm and axis 70 mm long has one of its triangular faces on V.P. and the edge of base contained by that face perpendicular to HP. Draw its projections. 20 marksAns: Refer problem 11.16 Page 11.19 of ED - Basant Agrawal, TMH.
4. a) A hexagonal prism of side of base 35 mm and axis length 55 mm rests with its base on H.P. such that two of the vertical surfaces are perpendicular to V.P. It is cut by a plane inclined at 50º to H.P and perpendicular to V.P and passing through a point on the axis at a distance 15 mm from the top. Draw its front view, sectional top view and true shape of section. 20 marks
Ans: Refer problem 12.2 Page 12.5 of ED - Basant Agrawal, TMH
Ans: Refer problem 12.2 Page 12.5 of ED - Basant Agrawal, TMH
OR
4. b) Draw the development of the lateral surface of the lower portion of a cylinder of diameter 50 mm and axis 70 mm. The solid is cut by a section plane inclined at 40º to H.P. and perpendicular to V.P. and passing through the midpoint of the axis. 20 marks
Ans: Refer problem 13.4 Page 13.5 of ED - Basant Agrawal, TMH.
5. a) Draw the isometric projection of the object from the views shown in Figure 5(a). 20 marksAns: Similar to problems 15.27-15.39 Page 15.18-15.22 ED - Basant Agrawal, TMH.
OR
5. b) Draw the perspective projection of a cube of 25 mm edge, lying on a face on the ground plane, with an edge touching the picture plane and all vertical faces equally inclined to the picture plane. The station point is 50 mm in front of the picture plane, 35 mm above the ground plane and lies in a central plane which is 10 mm to the left of the centre of the cube. 20 marks
Ans: Refer problem 17.4 Page 17.8 of ED - Basant Agrawal, TMH.
Ans: Refer problem 17.4 Page 17.8 of ED - Basant Agrawal, TMH.