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Question: Answered & Verified by Expert
The sides of the rectangle of greatest area that can be inscribed in the ellipse $x^2+4 y^2=64$ are :
MathematicsEllipseTS EAMCETTS EAMCET 2006
Options:
  • A $(6 \sqrt{2}, 4 \sqrt{2})$
  • B $(8 \sqrt{2}, 4 \sqrt{2})$
  • C $(8 \sqrt{2}, 8 \sqrt{2})$
  • D $(16 \sqrt{2}, 4 \sqrt{2})$
Solution:
2625 Upvotes Verified Answer
The correct answer is: $(8 \sqrt{2}, 4 \sqrt{2})$
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