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Let alpha , beta , gamma , delta be rea...

Let `alpha , beta , gamma , delta ` be real numbers such that `alpha^(2) +beta^(2) +gamma^(2) != 0 and alpha +gamma = 1 ` . Supose the point `(3,2,-1)` is the mirror image of the point `(1,0,-1)` with respect to the planet `alphax + beta y + gammaz = delta` . Then which of the following statements is/are TRUE ?

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