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Let A = (4, -1), B = (6, 2), and C = (-1, 2). There exists a point X and a constant k such that for any point P, PA^2 + PB^2 + PC^2 = 3PX^2 + k. Find the contant k.

 Apr 19, 2020
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X = (-3,2) and k = 24.

 Apr 19, 2020

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