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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. 

 

Could someone please give me some hints or text explanations, thanks!

 Aug 24, 2020
 #1
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Q = (3,-1) and k = 30.

 Aug 24, 2020

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