1. The document provides 9 examples of straight line projections, with each example including a diagram of the projections and given information such as lengths, inclinations, and positions of endpoints. 2. For each example, the document gives the true length of the line, positions of the endpoints relative to the planes, and/or inclinations of the line to the planes. 3. The examples demonstrate how to draw the projections of a straight line when given information about the line's characteristics and orientation in space.

1. Projection of line

2. A straight line
AB is 60 mm
long.
It is inclined to
H.P. and V.P. by
an angle of 30ᵒ
and 45ᵒ
respectively.
Point A is 30
mm above H.P.
and 20 mm in
front of V.P.
Draw the
projections of
straight line AB.
a
b
a'
b'
30
30ᵒ
X Y
20 45ᵒ
b2'
b2
b1
b1'
T.L. = a’b2’ = ab1 = 60 mm
R = a’b1’

3. 2520
p'
p
q
q' q3
a
b
a'
b'
30

X Y
20

b2'
b2
b3
b3'
X Y
q3'
1) A line PQ, 65 mm long, is inclined to H.P. by 30˚
and inclined to V.P. by 45˚. The end P is 20 mm
below H.P. and 25 mm behind V.P. Point Q is in
fourth quadrant. Draw its projections and find the
position of the point Q. (Dec’ 14)

4. a
b
a'
b'
30

X
Y
20

b2'
b2
b3
b3'
1220
a'
a
X Y
b'
b b3
b2'
b2
2) A line AB 90 mm long is inclined at 30º to the HP. Its end A is 12 mm above the
HP and 20 mm in front of VP. Its front view measures 65 mm. Draw the top view
of AB & state its length. Determine the inclination of top view and line AB with VP.

5. a
b
a'
b'
30

X
Y
20

b2'
b2
b3
b3'
3) A line AB measures 80 mm in top view and 70 mm in front view. The midpoint
M of the line is 45 mm in front of VP and 35 mm above HP. The end A is 10 mm in
front of VP. Draw the projections of the line and find TL, θ, . (Jun’ 14)
1035
45
m'
m
X Ya
a'
b'
b
b3'
b3

6. a
b
a'
b'
30

X
Y
20

b2'
b2
b3
b3'
4) The front view and top view of a line MN is inclined at an angle of 30˚ & 40˚
respectively. The front view of line MN measures 50 mm. Point M is 15 mm above
H.P. and 10 mm in front of V.P. Draw the projections of line MN & find TL.(Dec’ 14)1510
m'
m
n'
n
X
Y
n2'
n2

7. a
b
a'
b'
30

X
Y
20

b2'
b2
b3
b3'
5) A line PQ 100mm long, is inclined at 30˚ to the H.P. and at 45˚ to the V.P. its mid
point is in the V.P. and 20mm above the H.P. Draw its projections, if its end P is in
the third quadrant and Q in the first quadrant (Jan’ 16)
20
X
Y
m'
m
q'
p'
p
q
q2'
q2
q3

8. a
b
a'
b'
30

X
Y
20

b2'
b2
b3
b3'
6) The front view of a line AB, 90mm long, measures 65mm. Front view is inclined
to XY line by 45°. Point A is 20mm below H.P. and on V.P. Point B is in third
quadrant. Draw the projections and find inclinations of line with H.P. and V.P
20
X
Y
a'
a
b'
b b3
b2'
b2

9. a
b
a'
b'

X Y

b2'
b2
b3
b3'
7) The distance between end projectors of the straight line KL is 48 mm. The end K
is 20 mm below H.P and 25 mm behind V.P. The end L is 12 mm above H.P. and 40
mm in front of V.P. Draw the projections and finds the true length of the line.
40
20
X Y
k'
l'
l
k
l3
l3'
l2'
25
12
48

10. a
b
a'
b'
30

X
Y
20

b2'
b2
b3
b3'
8) A straight line AB is 80mm long and inclined at 450 to H.P. its Elevation
measures 60mm. End A is 20mm above H.P & 30mm in front of V.P. Draw its
projections and find the inclination of line with V.P. (Jun’ 15)
2030
a'
b' b2'
b b3
b2
X Y
a

11. a
b
a'
b'
30

X
Y
20

b2'
b2
b3
b3'
9) Distance between the end projectors of a line AB is 50mm end is 20mm above
H.P and 30mm in front of V.P. End B is 50mm above H.P. Length of the line is
80mm. Draw its projection.(Jun’ 15)
2030
50
a'
b' b2'
b2
b
a
X Y
50