The eccentricity of an ellipse, with its centre at the origin is 1 2 . If one of the…

Mathematics · JEE Main · NTA ExamsCo-ordinate Geometry

The eccentricity of an ellipse, with its centre at the origin is \(\frac{1}{2}\). If one of the directrix is \(x=4\), then the equation of the ellipse is
  1. \(3 x^{2}+4 y^{2}=1\)
  2. \(3 x^{2}+4 y^{2}=12\)
  3. \(4 x^{2}+3 y^{2}=12\)
  4. \(4 x^{2}+3 y^{2}=1\)

Answer

(C) 4 x^ 2 +3 y^ 2 =12

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