Question:
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?
Correct Option: , 3
Solution:
$\mathrm{ae}=3, \mathrm{e}=\frac{3}{2}, \mathrm{~b}^{2}=4\left(\frac{9}{4}-1\right), \mathrm{b}^{2}=5$
$\frac{x^{2}}{4}-\frac{y^{2}}{5}=1$