Mathematics, 24.09.2021 19:50 franchely

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.

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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 constan...

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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. This is urgent, please help me out :(

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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.

This is urgent, please help me out

:(