Let \( A \) and \( B \) be two fixed points in a plane. Find the locus of a point \( P \), such ...

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Let \( A \) and \( B \) be two fixed points in a plane. Find the locus of a point \( P \), such that \( P A^{2}+P B^{2}= \) \( A B^{2} \).
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\( \equiv \)
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