1. The problem involves drawing the projections of a line PQ where point P lies on the horizontal plane and point Q is 50 mm above the HP and 80 mm in front of the vertical plane. The line is inclined at an angle of 40 degrees to the vertical plane. 2. The elevation of the line measures 78 mm. The true length of the line and the inclination of the line to the horizontal plane must be found. The traces of the line must also be located. 3. The steps involve drawing the projections, locating the points P' and Q', drawing the inclined line using the given angle, measuring the true length and inclination angle, and determining the traces.

1. Engineering Graphics
Unit 1: Projections of Line

2. Problem Statement (Phase I- 2013) :-
The point P of a line PQ is in HP while its other end Q
is 50 mm above HP and 80 mm in front of VP. The line
is inclined to VP at an angle of 400 . Draw the
projections of a line if its elevation measures 78mm .
Find true length of a line and the inclination made by
line with HP. Also, locate the traces of line.
Given Data:-
1. p’= on XY
2. q = 50 mm above HP
3. q= 80 mm in front of VP
4. ɸ = 400
5. Elevation length = 78 mm

3. Draw XY line and locate projection of points p’Step 1

4. Draw line = 50 mm above XY which is parallel to XY
Locate q1 ‘ from p’ of 78 mm
Draw arc from q1 ‘ to q’ with p’ as centre
Step 2

5. Extend the projector lines p’ to p
Draw line at angle of 400 from point q1 ‘ which cuts points p
Step 3

6. Take a distance pq1 ‘ and draw line p’q2 ‘ of same distance which is TL
And measure θ
Step 4

7. By using inclined to HP and parallel to VP, we get q point, join pq
By considering given data q is 80 mm in front of VP
and finally draw pq which is PL.
Step 5

8. Step 6
Draw a traces :
HT extend a’b’on XY line from that draw projector which cuts ab
VT extend abon XY line from that draw projector which cuts a’b’