The eccentricity of an ellipse, with its centre at the origin, is $\frac{1}{2}$. If one of the directrices is $x = 4$, then the equation of the ellipse is
The eccentricity of an ellipse, with its centre at the origin, is $\frac{1}{2}$. If one of the directrices is $x = 4$, then the equation of the ellipse is
- [AIEEE 2004]
- A
$4{x^2} + 3{y^2} = 1$
- B
$3{x^2} + 4{y^2} = 12$
- C
$4{x^2} + 3{y^2} = 12$
- D
$3{x^2} + 4{y^2} = 1$
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- [JEE MAIN 2021]