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### Question Asked by a Student from EXXAMM.com Team

** 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

#### HINT

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