In \mathbb{R}^3,consider the plane P_1:y=0\text{and}P_2:x+z=1.\text{Let}P_3 be a plane different from P_1\text{and}P_2.which passes through the intersection of P_1\text{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 Adv 2015 P1]

Three Dimensional Geometry

Section: Mathematics

Question : 19 of 35

Marks: +1, -0

In ℝ3,consider the plane P1:y=0‌and‌P2:x+z=1.‌Let‌P3 be a plane different from P1‌and‌P2.which passes through the intersection of P1andP2.If the distance of the point (0,1,0) from P3 is 1 and the distance of a point (α,β,γ) from P3 is 2 then which of the following relations is (are) true?

[JEE Adv 2015 P1]

2α+β+2γ+2=0
2α−β+2γ+4=0
2α+β−2γ−10=0
2α−β+2γ−8=0

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