The sides of the rectangle of greatest area that can be inscribed in the ellipse $x^2+4 y^2=64$ are :

The sides of the rectangle of greatest area that can be inscribed in the ellipse $x^2+4 y^2=64$ are :
  1. $(6 \sqrt{2}, 4 \sqrt{2})$
  2. $(8 \sqrt{2}, 4 \sqrt{2})$
  3. $(8 \sqrt{2}, 8 \sqrt{2})$
  4. $(16 \sqrt{2}, 4 \sqrt{2})$

Solution

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Asked in: AP EAMCET 2006

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