Question:
The eccentricity of an ellipse, with its centre at the origin, is \dfrac12.
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 \dfrac12.
If one of the directrices is x=4, then the equation of the ellipse is
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Directrix equation helps determine the semi-major axis.
Updated On: Mar 20, 2026
- \(4x^2+3y^2=1\)
- \(3x^2+4y^2=12\)
- \(4x^2+3y^2=12\)
- 3x²+4y²=1
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The Correct Option is C
Solution and Explanation
Using the relation between eccentricity, directrix and semi-major axis,
the required equation of the ellipse is
4x²+3y²=12
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