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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 = 3*PQ^2 + k.

 

If A = (4,-1), B = (8,-2), and C = (1,-11), then find the constant k.

 Oct 22, 2021
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k = 46.

 Oct 22, 2021

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