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ExamsJEE AdvancedGeneral

Consider all rectangles lying (x,y) R R : 0 x and 0 y 2sin(2x) 2 π ⎧ ⎫ ∈ × ≤ ≤ ≤ ≤ ⎨ ⎬ ⎩ ⎭ and having one side on the x-axis. The area of the rectangle which has the maximum perimeter among all such rectangles, is-

  1. 3 2 π
  2. π
  3. 2 3 π
  4. 3 2 π

Correct answer: 2 3 π

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