Question

The eccentricity of an ellipse whose centre is at the origin is ½. If one of its directrices is x = -4, then the equation of the normal to it at (1, 3/2) is

2y - x = 2
4x - 2y = 1
4x + 2y = 7
x + 2y = 4

Answer 1

Answer:

♠ The correct option is B.

Explanation:

Eccentricity = 1/2

Let 2a be the length of major axis and 2b be the length of minor axis

a/e = 4

a = 2

Also, b = √3, as e = 1/2

Equation of ellipse is x2/4 + y2/3 = 1

➾  Equation of normal at (1, 3/2) is 4x - 2y = 1

Answer 2

Answer:

Explanation:

The correct option is B.