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Points A, B, and C are given in the coordinate plane. There exists a point Q and a constant k such that for any point P,

\(PA^2 + PB^2 + PC^2 = 3PQ^2 + k\)
If \(A = (4,-1),B = (-3,1),\)  and , \(C = (5,-3)\)then find the constant k.

 Oct 12, 2022
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k = 38.

 Oct 12, 2022

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