Hey, Is this a geometry problem by Lakshya Sinha?

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.