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<p>ABC is a triangle. Find the locus of P if PA^2 + PB^2 = PC^2.</p>
The problem is already discussed here : https://www.quora.com/ABC-is-a-triangle-and-P-is-any-point-Find-the-locus-of-P-if-PA%C2%B2-+-PB%C2%B2-PC%C2%B2