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 pas

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Q 1648167903.     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?
JEE 2015 ADVANCED Paper 1
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`

HINT


Solution
(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

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