Consider all rectangles lying in the region (x, y) R R: 0 x 2 and 0 y 2 (2 x) and having…
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
Consider all rectangles lying in the region
\(\left\{(x, y) \in R \times R: 0 \leq x \leq \frac{\pi}{2} \text { and } 0 \leq y \leq 2 \sin (2 x)\right\}\)
and having one side on the x-axis. The area of the rectangle which has the maximum perimeter among all such rectangles, is
\(\left\{(x, y) \in R \times R: 0 \leq x \leq \frac{\pi}{2} \text { and } 0 \leq y \leq 2 \sin (2 x)\right\}\)
and having one side on the x-axis. The area of the rectangle which has the maximum perimeter among all such rectangles, is
- p
Answer
(A)
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