Let A(6,7), B(2,3) and C(-2,1) be vertic...

Let `A(6,7), B(2,3)` and `C(-2,1)` be vertices of a triangle. The point `P` in the interior of `DeltaABC` such that `DeltaPBC` is an equilateral triangle is (A) `(-sqrt3, 2+2sqrt(3)) (B) (-sqrt(3), 2-2sqrt(3)) (C) (sqrt(3), 2-2sqrt(3)) (D) (sqrt(3),2+2sqrt(3))`

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