# Find the Point

Geometry Level 4

A point $$(x,y)$$ in the first quadrant is $$600$$ units closer to the point $$(500,0)$$ than to the point $$(-500,0)$$ and is a distance of $$400$$ units away from the origin. The value of $$x$$ is $$\sqrt{2} A$$. Find $$A$$.

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