Q. If the vertices of a hyperbola be at $(-2, 0)$ and $(2, 0)$ and one of its foci be at $(-3, 0)$, then which one of the following points does not lie on this hyperbola?
Solution:
$ae =3, e = \frac{3}{2 } , b^{2} =4\left(\frac{9}{4}-1\right), b^{2} =5 $
$ \frac{x^{2}}{4} - \frac{y^{2}}{5} = 1 $
