# 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.