Let α, β, γ, δ be real numbers such that α2+β2+γ2≠0 and α+γ=1. Suppose the point (3,2,−1) is the mirror image of the point (1,0,−1) with respect to the plane αx+βy+γz=δ. Then which of the following statements is/are TRUE?

Let α, β, γ, δ be real numbers such that α2+β2+γ2≠0 and α+γ

1.	Let α, β, γ, δ be real numbers such that α2+β2+γ2≠0 and α+γ=1. Suppose the point (3,2,−1) is the mirror image of the point (1,0,−1) with respect to the plane αx+βy+γz=δ. Then which of the following statements is/are TRUE?
Answer» Let $α, β, γ, δ$ be real numbers such that $α^{2} + β^{2} + γ^{2} \neq 0$ and $α + γ = 1.$ Suppose the point $(3, 2, - 1)$ is the mirror image of the point $(1, 0, - 1)$ with respect to the plane $α x + β y + γ z = δ .$ Then which of the following statements is/are TRUE?