Equation of the ellipse whose axes are the axes of coordinates and which passes through…

Mathematics · JEE Main · NTA ExamsCo-ordinate Geometry

Equation of the ellipse whose axes are the axes of coordinates and which passes through the point \((-3,1)\) and has eccentricity \(\sqrt{\frac{2}{5}}\) is,
  1. \(5 x^{2}+3 y^{2}-48=0\)
  2. \(3 x^{2}+5 y^{2}-15=0\)
  3. \(5 x^{2}+3 y^{2}-32=0\)
  4. \(3 x^{2}+5 y^{2}-32=0\)

Answer

(D) 3 x^ 2 +5 y^ 2 -32=0

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