The minimum distance of any point on the ellipse x^ 2 +3 y^ 2 +2 x y=4 from its centre is

Mathematics · JEE Main · NTA ExamsCo-ordinate Geometry

The minimum distance of any point on the ellipse \(x^{2}+3 y^{2}+2 x y=4\) from its centre is
  1. \(2(2-\sqrt{2})\)
  2. \(2(2+\sqrt{2})\)
  3. \(2(\sqrt{2}-1)\)
  4. \(Z(\sqrt{2}+1)\)

Answer

(C) 2( 2 -1)

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