# Equation of locus

Geometry Level 2

Given three points $$O=(0, 0),$$ $$A=(3, 0)$$ and $$B=(0, 1),$$ find the equation of the locus of point $$P$$ that satisfies ${2\overline{ OP } }^{2}={\overline{ AP } }^{2}+{\overline{ BP } }^{2}.$

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