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JEE Main Math Class 12 Three Dimensional Geometry Part 1 Questions
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© examsnet.com
Question : 27
Total: 100
The number of distinct real values of
lambda
for which the lines
x
−
1
1
=
y
−
2
2
=
z
+
3
λ
2
and
x
−
3
1
=
y
−
2
λ
2
=
z
−
1
2
are coplanar is :
[Online April 10, 2016]
2
4
3
1
Validate
Solution:
Lines are coplanar
|
3
−
1
2
−
2
1
−
(
−
3
)
1
2
λ
2
1
λ
2
2
|
=
0
⇒
|
2
0
4
1
2
λ
2
1
λ
2
2
|
=
0
⇒
2
(
4
−
λ
4
)
+
4
(
λ
2
−
2
)
=
0
⇒
4
−
λ
4
+
2
λ
2
−
4
=
0
⇒
λ
2
(
λ
2
−
2
)
=
0
⇒
λ
=
0
,
√
2
,
−
√
2
© examsnet.com
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