If the sum of squares of distances of a point \( P \) from the two points \( (-5,2) \) and \( (1...

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If the sum of squares of distances of a point \( P \) from the two points \( (-5,2) \) and \( (1,4) \) is 52 , show that the locus of \( \mathrm{P} \) is a circle. Find its centre and radius.
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