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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 constant k.

 Apr 20, 2020
 #1
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X = (3,-1) and k = 14.

 Apr 20, 2020
 #2
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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 constant \(k\).

 

answer here: https://web2.0calc.com/questions/geometry-help-please-asap

 

 

laugh

 Apr 20, 2020

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