JEE Advanced 2020 Paper 1 Mathematics Q6

Mathematics

Problem

Consider all rectangles lying in the region {(x, y) ∈ ℝ × ℝ : 0 ≤ x ≤ π/2 and 0 ≤ y ≤ 2 sin(2x)} and having one side on the x-axis. The area of the rectangle which has the maximum perimeter among all such rectangles, is

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