Area of the greatest rectangle that can be inscribed in the ellipse x^ 2 a^ 2 + y^ 2 b^ 2…

Mathematics · JEE Main · NTA ExamsLimit, Continuity and Differentiability

Area of the greatest rectangle that can be inscribed in the ellipse \(\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1\)is
  1. ab
  2. 2 ab
  3. a/b
  4. \(\sqrt{\frac{10}{10}}\)

Answer

(B) 2 ab

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