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BITSAT 2018 Slot 2 Solved Paper
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Section:
Mathematics
© examsiri.com
Question :
130 of 150
Marks:
+1
,
-0
If the planes
r
(
2
^
i
−
λ
^
j
+
3
^
k
)
=
0
and
r
.
(
λ
^
i
+
5
^
j
−
^
k
)
=
5
are perpendicular to each other, then the value of
λ
2
+
λ
is
0
2
1
3
Validate
Solution:
Since, given planes are perpendicular to each other, i.e. its normal are perpendicular
∴
2
(
λ
)
−
λ
(
5
)
+
3
(
−
1
)
=
0
⇒
−
3
λ
−
3
=
0
⇒
λ
=
−
1
∴
λ
2
+
λ
=
(
−
1
)
2
−
1
=
0
Hence, option (a) is correct.
© examsiri.com
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