AIEEE 2004 | Ellipse Question 102 | Mathematics

The eccentricity of an ellipse, with its centre at the origin, is $${1 \over 2}$$. If one of the directrices is $$x=4$$, then the equation of the ellipse is :

$$4{x^2} + 3{y^2} = 1$$

$$3{x^2} + 4{y^2} = 12$$

$$4{x^2} + 3{y^2} = 12$$

$$3{x^2} + 4{y^2} = 1$$

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