A hyperbola passes through the point
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 :

1. $(-\sqrt{2},-\sqrt{3})$

2. $(3 \sqrt{2}, 2 \sqrt{3})$

3. $(2 \sqrt{2}, 3 \sqrt{3})$

4. $(\sqrt{3}, \sqrt{2})$

Correct Option: , 3

Solution: