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In R^3, consider the planes: P1: y=0 and...

In `R^3`, consider the planes: `P_1: y=0 and P_2:x+z=1`. Let `P_3` be a plane, different from `P_1 and P_2`, which passes through the intersection of `P_1 and P_2`. If the distance of the point (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

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

B

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

C

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

D

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

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