Let `A (1, - 1, 1)` and `B (- 1, 1, -1)` be the vertices of triangle `ABC` such that `∠A = ∠B` Locus of the vert

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Q 1217801780.     Let `A (1, - 1, 1)` and `B (- 1, 1, -1)` be the vertices of triangle `ABC` such that `∠A = ∠B`
Locus of the vertex `C` is
A

`2x - 2y + z = 0`

B

`x + 2y - 2z = 0`

C

`2x + y - 2z = 0`

D

`x - y + z = 0`

HINT

Let coordinate of `C` be `( α, β, γ )` As `AC = BC`

Solution
(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

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