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JEE Main2005MathematicsApplication of DerivativesActual

Area of the greatest rectangle that can be inscribed in the ellipse x^2 a^2 + y^2 b^2 =1 is

Options

  1. A2 a b
  2. Ba b
  3. C3a b
  4. Da b

Correct answer

A. 2 a b

Step-by-step solution

Area of rectangle A B C D=(2 a )(2 b )=2 a b 2 Area of greatest rectangle is equal to 2 a b when 2 =1 .

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