Exercise [Projections of Straight Lines]

EXERCISE

Line parallel to both the planes

1. A line AB, 70 mm long is parallel to both HP and VP. The point A is 25 mm above HP and point B is 40 mm infront of VP. Draw its projections. 

2. Draw the projections of a line MN 80 mm long if it is placed in the third quadrant, parallel to both HP and VP. The end M is 60 mm below HP and 50 mm behind VP.

Line perpendicular to one of the planes

3. A line of 60 mm long is perpendicular to HP and parallel to VP. If the line is 15mm above HP and 12mm infront of VP, draw its projections.

4. A line PQ is 30mm above HP and 20mm infront of VP. If the line is perpendicular to VP and 45 mm long draw its projections.

5. A line 60 mm long is perpendicular to VP and lying on HP. If the line is touching the VP draw its projections.

6. A line 55 mm long is parallel to VP and perpendicular to HP. The line is situated at 25 mm infront of VP and touching HP, draw its projections.

Line inclined to one of the planes and parallel to the other

7. A line MN, 75mm long is parallel to VP and inclined at 40° to HP. The end M is 20 mm above HP and 25 mm infront of VP. Draw the projections of the line MN.

8. A line CD, 65 mm long lies in HP and has its end C in both HP and VP. It is inclined at 40° to VP. Draw the projections of the line.

9. One end of a line MN is in HP and 10 mm infront of VP. The line is parallel to VP and inclined at 60° to HP. If the length of the plan is 50 mm, find the true length of the line.

10. The end P of a line 65 mm long is 20 mm above HP and 25 mm infront of VP. The line is parallel to HP and inclined to VP. The length of the front view is observed as 45 mm. Draw the projections of the line and determine the inclination of the line with VP.

11. A straight line of 75 mm long has one end 15 mm infront of VP and 30 mm above HP while the other end is 35 mm infront of VP and 20 mm above HP. Draw the plan and elevation of the line. 

12. A line EF is inclined at 60° to VP and contained in HP. The end F is 30 mm infront of VP, while the end E is behind VP. Draw the projections of the line if the true length of the line is 80 mm. 

13. The front view of the line MN is 90 mm long and it makes an angle 30° with the XY line. The mid point of the line is on the line XY and the end N is in the fourth Quadrant. If the line is 20 mm infront of and parallel to VP draw its projections.

14. The top view of a line AB measures 60 mm. The line is parallel to VP and inclined at 30° to HP. Its end A is 15 mm below HP and 25 mm behind VP. Draw the projections of the line and determine its true length, assuming the line is in the third quadrant.

15. A straight line AB of 65 mm length has its end point A 15 mm above HP and 25 mm infront of VP. The line is inclined at 45° to HP while its front view is inclined at 45° to XY line. Draw the projections of AB and find its inclination to VP, if AB is in first quadrant.

16. A straight line AB of 60 mm length is parallel to and 30 mm away from both the reference planes. Another line AC of 80 mm length is parallel to VP and has its end C 80 mm above HP. PAS Draw the projections of the line joining the ends B and C and find the true length of the line BC if all the lines are located in first quadrant.

17. The plan view of a line AB measures 50 mm and is parallel to the ground line. Draw the projections of the line if its one end is 15 mm from HP and 20 mm from VP while the line is enil inclined at 60° degrees to HP and is in first quadrant. What is the true length of the line.

Line inclined to both the reference planes

18. A line PQ of 60 mm long is inclined at 40° to HP and 30° to VP. One end of the line is 35 mm infront of VP and 25 mm above HP. Draw the projections of PQ.

19. A straight line of 90 mm long has one end 15 mm infront of VP and 30 mm above HP while the other end is 25 mm infront of VP and 40 mm above HP. Draw the plan and elevation of the line. Determine the inclination of the line to HP and VP.

20. One end of a line 70 mm long is in both HP and VP. The line is inclined at 60° to HP and 25° to VP. Draw its projections. 

21. One end of a line 75 mm long is 25 mm above HP and in VP. It is inclined at 45° to HP. Its front view measures 60 mm. Draw the projections and find true inclination with VP. 

22. The plan of a line PQ is 70 mm long and makes 45° with XY. Its elevation makes 50° with XY and the line intersects XY at Q. Find its true length and inclinations to HP and VP.

23. One end of a line is 10 mm above HP and in VP. Its elevation and plan measures 55 mm and 70 mm respectively. The elevation is inclined at 55°. Draw the projections and find true length eved and inclinations.

24. The projections of a line PQ has the end P, 20 mm above HP and 30 mm infront of VP while the end Q is 60 mm infront of VP and 70 mm above HP. The end projectors are at a distance of 80 mm. Determine the true length and true inclinations of the line.

25. For a straight line, the front view points a' and b' are 50 mm and 20 mm above XY line, while the topview points a and b are 15 mm and 60 mm below XY line. The distance between the at en end projectors is 70 mm. Draw the projections of the line. Also determine the true length and We true inclination.

26. Draw the projections of a line AB of 60 mm length having its end A in HP and the end B 15 mm behind VP. The line is located in third quadrant and is inclined at 30° to HP and 45° to VP. 

27. End A of a 100 mm long straight line AB is in VP and 25 mm above HP. The mid point M of en the line is on HP and 25 mm infront of VP. Draw the projections of AB and determine its inclinations with HP and VP.

28. The mid point of a line 70 mm long is 45 mm above HP and 30 mm infront of VP. It is inclined at 50° to HP and 30° to VP. Draw the projections.

29. A line 75 mm long has one end in HP and the other end in VP. The line is inclined at 50° to of 0 HP and 30° to VP. Draw the projections.

30. A line 80 mm long has its one end in HP and the other end in VP. Its plan and elevation measures 70 mm and 65 mm respectively. Draw the projections and find the true inclinations.

Inclined Line contained in PP

31. Line AB, 80 mm long is situated in the first quadrant such that the end A is in HP and end B is 20 mm infront of VP. If the inclinations of the line to HP and VP are 40° and 50° respectively, draw the projections of the line.

32. A line PQ has its end P in both HP and VP while the other end Q is 50 mm away from P. The line is inclined at 35° to VP and 55° to HP. If the line is in first quadrant, draw its three views.

Traces of a Line

33. A line MN of length 70 mm is parallel to VP and 30 mm infront of it. If the point M is 25 mm and point N is 65 mm above HP, draw its projections and find the traces of the line.

34. The end B of a line BC is 15 mm infront of VP, while the end C is 40 mm above HP. The line is parallel to HP and 60° inclined to VP. Draw projections of the line and locate its traces, if the length of the line is 70 mm.

35. An end S of a line is 20 mm above HP and 16 mm infront of VP, while the other end T is 50 mm above HP and 60 mm infront of VP. If the end projectors are at a distance of 70 mm, draw the top and front views of the line and mark its traces. 

36. A line CD 80 mm long has the end d C 20 mm infront of VP and the other end D 50 mm above HP. The line is inclined at 30° to HP and 45° to VP. Draw the projections and mark the traces.