Question: Tangents are drawn to the hyperbola $4 x^{2}-y^{2}=36$ at the point $P$ and $Q$. If these tangents intersect at the point $T(0,3)$ then the area (in sq. units) of $\triangle P T Q$ is -
$54 \sqrt{3}$
$60 \sqrt{3}$
$36 \sqrt{5}$
$45 \sqrt{5}$
Correct Option: , 4
Solution:
