JEE Advance - Mathematics (1990 - No. 25)
A point $$P$$ is given on the circumference of a circle of radius $$r$$. Chord $$QR$$ is parallel to the tangent at $$P$$. Determine the maximum possible area of the triangle $$PQR$$.
$$ rac{1}{2}r^2$$
$$r^2$$
$$ rac{3}{4}r^2$$
$$ rac{3sqrt{3}}{4}r^2$$
$$ rac{sqrt{3}}{2}r^2$$