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

Mathematics · JEE Main · NTA ExamsCo-ordinate Geometry

The eccentricity of an ellipse whose centre is at the origin is \(\frac{1}{2} .\) If one of the directrices is x = 4, then the equation of the ellipse is
  1. \(4 x^{2}+3 y^{2}=6\)
  2. \(4 x^{2}+3 y^{2}=12\)
  3. \(3 x^{2}+4 y^{2}=12\)
  4. \(3 x^{2}+4 y^{2}=6\)

Answer

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

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