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3D Geometry question

2020 · Shift 2 · Q28
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  5. /2020 · Shift 2 · Q28

3D Geometry question

2020 · Shift 2 · Q28

JEE AdvancedMathematics3D GeometryMultiple correct+4 / −2
Let α\alphaα 2 + β\betaβ 2 + γ\gammaγ 2 eee 0 and α\alphaα+γ\gammaγ= 1. Suppose the point (3, 2, −-− 1) is the mirror image of the point (1, 0, −-− 1) with respect to the plane α\alphaα x + β\betaβ y + γ\gammaγ z = δ\deltaδ. Then which of the following statements is/are TRUE?
  1. A
    α\alphaα+β\betaβ = 2
  2. B
    δ−γ\delta -\gammaδ−γ = 3
  3. C
    δ\deltaδ+β\betaβ = 4
  4. D
    α\alphaα+β\betaβ+γ\gammaγ=δ\deltaδ
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