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In R^(3), consider the planes P(1):y=0 a...

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 relation(s) 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`

Text Solution

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The correct Answer is:
B, D
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