A hyperbola whose transverse axis is along the major axis of the conic, $\frac{x^2}{3} + \frac{y^2}{4} = 4$ and has vertices at the foci of this conic. If the eccentricity of the hyperbola is $\frac{3}{2}$, then which of the following points does $NOT$ lie on it ?

Question

$\begin{array}{1 1}(1)\; (0, 2) \\ (2)\; (\sqrt 5, 2 \sqrt 2) \\ (3)\; (\sqrt{10}, 2\sqrt {3}) \\ (4) (5, 2 \sqrt 3 ) \end{array} $