projection of line problems solved for purpose to practices...

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