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In R(3) , consider the planes P(1):...

In `R_(3) , ` consider the planes `P_(1):y=0and P_(2) : x+z=1. Let P_(3)` be a plane , different from `P_(1) and P_(2)` , which passes through the interesection of `P_(1) and P_(2) `I fhte distance of the (0,1,0) from `p_(3)` is 1 and the distance of a point `(alpha , beta , gamma )` from `P_(3)` is 2, then which of the following relations is ( are ) true ?

A

`2 alpha + beta + 2 gamma + 2 =0`

B

` 2 alpha - beta + 2 gamma + 4=0`

C

` 2 alpha +beta - 2 gamma - 10 =0`

D

` 2 alpha - beta + 2 gamma -8=0`

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The correct Answer is:
B, D
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