The eccentricity of an ellipse whose centre is at the origin is $\large\frac{1}{2}$ . If one of its directrices is $x=−4,$ then the equation of the normal to it at $\bigg(1,\large\frac{3}{2}\bigg)$ is :

Question

$\begin{array}{1 1} (1) 4x-2y=1 \\ (2) 4x+2y=7 \\ (3) x+2y=4 \\ (4) 2y-x=2 \end{array}$