Let α, β, γ, δ be real numbers such that α 2 + β 2 + γ 2 ≠ 0 and α + γ =1. Suppose the…
Mathematics · JEE Advanced · NTA Exams — Three Dimensional Geometry
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?
αx + βy + γz = δ. Then which of the following statements is/are TRUE?
- a + b = 2
- d − g = 3
- d + b = 4
- a + b + g = d
Answer
(B) d − g = 3
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