JEE MATHEMATICS MCQ: ELLIPSE

1 Easy

1 of 1

Application +4 | -1

For an ellipse with eccentricity

\frac{1}{2}

the centre is at the origin. If one directrix is

x = 4

, then the equation of the ellipse is

View answer and explanation

Correct option: B

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

Option B (

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

) is correct because given the eccentricity and directrix, we can determine the values of a and b, and thus the equation of the ellipse.

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O