# Hey, Is this a geometry problem by Lakshya Sinha?

Geometry Level pending

Let there be a circle with center $$O$$. On the circle lies a point $$A$$. If there exist a line $$l$$ and a point $$X$$ on it such that $$AX \bot l$$ and $$AX=10㎝$$. Let there be a point $$P$$ on line $$l$$ such that $$AP=20 ㎝$$ and $$OP=30㎝$$. From $$P$$ and $$X$$ tangents are drawn. If the tangents don't intersect and the lengths of tangent from $$X$$ and $$P$$ be $$y$$ and $$x$$ respectively, then find $$xy$$, if $$OA$$ is perpendicular to diameter and the length between the point $$A$$ and line $$l$$ is minimum.

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