The line which contains all points (x, y...

The line which contains all points `(x, y, z)` which are of the form `(x, y, z)=(2, -2, 5)+lambda(1, -3, 2)` intersects the plane `2x-3y+4z=163` at P and intersects the YZ-plane at Q. If the distance PQ is `asqrt(b)`, where `a,binN and agt3`, then `(a+b)` is equalto

A

`23`

B

`95`

C

`27`

D

None of these

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The correct Answer is:

(a)

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