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In the coordinate plane, A=(4,1) B=(6,2) and C=(-1,2) . There exists a point Q and a constant k such that for any point P, PA^2 + PB^2 + PC^2 = 3PQ^2 + k. Find the constant k.

 Sep 21, 2020
 #1
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Q = (0,5) and k = 48.

 Sep 21, 2020

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