# The eccentricity of an ellipse whose centre is at the origin

Question:

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

1. x + 2y = 4

2.  2y – x = 2

3.  4x – 2y = 1

4.  4x + 2y = 7

Correct Option: , 3

Solution: