Question: A hyperbola passes through the point $P(\sqrt{2}, \sqrt{3})$ and has foci at $(\pm 2,0)$. Then the tangent to this hyperbola at $P$ also passes through the point :
$(-\sqrt{2},-\sqrt{3})$
$(3 \sqrt{2}, 2 \sqrt{3})$
$(2 \sqrt{2}, 3 \sqrt{3})$
$(\sqrt{3}, \sqrt{2})$
Correct Option: , 3
Solution:
