Find the equation of set points P such that \[P{{A}^{2}}+P{{B}^{2}}=2{{K}^{2}},\] where A and B are the points (3, 4, 5) and (-1, 3, -7), respectively:

Find the equation of set points P such that \[P{{A}^{2}}+P{{B}^{2}}=2{

1.	Find the equation of set points P such that \[P{{A}^{2}}+P{{B}^{2}}=2{{K}^{2}},\] where A and B are the points (3, 4, 5) and (-1, 3, -7), respectively:
A.	\[{{K}^{2}}-109\]
B.	\[2{{K}^{2}}-109\]
C.	\[3{{K}^{2}}-109\]
D.	\[4{{K}^{2}}-10\]
Answer» C. \[3{{K}^{2}}-109\]

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Find the equation of set points P such that \[P{{A}^{2}}+P{{B}^{2}}=2{{K}^{2}},\] where A and B are the points (3, 4, 5) and (-1, 3, -7), respectively:

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