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The plane containing the line x - 2y + 3...

The plane containing the line `x - 2y + 3z + 2 = 0 = 2x + 3y - z + 1` and parallel to `x/1 = y/1 = z/1` contains the point:

A

`(1, 0, 3/7)`

B

`(0, 5/7, 2/7)`

C

`(0, 3/7, -3/7)`

D

`(3, 5/7, -2/7)`

Text Solution

Verified by Experts

The correct Answer is:
B
Equation of plane containing the line is `(1 _ 2lambda)x + (3lambda - 2)y + (3 - lambda) z + 2 + lambda = 0` if it is parallel to given line `implies 1(1 + 2lambda) + 1(3lambda - 2) + 1(3-lambda) = 0 implies lambda = (-1)/2 implies y - z = 3/7`.
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