Embibe Experts Solutions for Exercise 1: SAT 2020

Two tangents $PA$ and $PB$ are drawn to a circle with centre $O$ from an external point $P$. The chord $AB$ intersects the line segment $PO$ at $Q$. Then, the square of the radius of the circle is

It is known that area of a cyclic quadrilateral is $\sqrt{(s-a)(s-b)(s-c)(s-d)}$ where $a,b,c,d$ are the sides and $s=\frac{a+b+c+d}{2}$. If a circle can also be inscribed in the cyclic quadrilateral then the area of this quadrilateral is