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Byju's Answer
Standard XII
Mathematics
Condition for Two Lines to Be Parallel
The line x-2/...
Question
The line
x
−
2
3
=
y
−
3
4
=
z
−
4
5
is parallel to the plane
[BIT Ranchi 1991; Pb. CET 1991]
A
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B
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C
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D
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Solution
The correct option is
B
Trick : Since line is parallel to plane if al + bm + cn = 0
∴
From option (b), 3(2) + 4(1) + 5(-2) =0.
Clearly, 2x + y - 2z = 0 is the required plane.