Question

In R^3, consider the planes P₁ : y = 0 and P₂: x + z = 1. Let P₃ be a plane, different from P₁ and P₂, which passes through the intersection of P₁ and P₂. 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 relation is (are) true ?

(a) 2α +β+2γ +2=0

(b) 2α -β+2γ +4 =0

(c) 2α +β-2γ -10=0

(d) 2α -β+2γ -8 =0

Answer 1

The correct answer is