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A(1,2),B(2,- 3),C(-2,3) are 3 points. A ...

`A(1,2),B(2,- 3),C(-2,3)` are 3 points. A point P moves such that `PA^(2)+PB^(2)=2PC^(2)` . Show that the equation to the locus of P is 7 x - 7y + 4 = 0 .

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