Question

In R³, 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, which of the following relations is(are) true?

Answer 1

Answer is (b) 2α – β + 2γ + 4 = 0 & (d) 2α – β + 2γ – 8 = 0

Let the required plane be x + z + λy – 1 = 0

Now,