# Familiar figure

Geometry Level pending

A point $$P$$ moves in such that the points $$A \bigg(\frac{1}{√2},\frac{-1}{√2}\bigg)$$ and $$B \bigg(\frac{-1}{√2},\frac{1}{√2}\bigg)$$ always subtend a right angle at $$P$$.

Find the number of such points having integral coordinates.

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