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NDA Math Three Dimensional Geometry
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© examsnet.com
Question : 59
Total: 92
The lines
2
x
=
3
y
=
−
z
and
6
x
=
−
y
=
−
4
z
[NDA II 2015]
are perpndicular
are parallel
intrsect at an angle 45°
intersect at an angle 60°
Validate
Solution:
2
x
=
3
y
=
−
z
or
x
3
=
y
2
=
z
−
6
6
x
=
−
y
=
−
4
z
or
x
2
=
y
−
12
=
z
−
3
cos
θ
=
x
1
x
2
+
y
1
y
2
+
z
1
z
2
√
x
1
2
+
x
2
2
+
x
3
2
⋅
√
y
1
2
+
y
2
2
+
y
3
2
=
(
6
−
24
+
18
)
√
(
3
)
2
+
(
2
)
2
+
(
−
6
)
2
⋅
√
(
2
)
2
+
(
−
12
)
2
+
(
−
3
)
2
cos
θ
=
0
θ
=
90
°
So lines are perpendicular
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