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Application of Derivatives question

2020 · Shift 1 · Q24

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PYQ Library
JEE Advanced
Mathematics
Application of Derivatives
2020 · Shift 1 · Q24

Application of Derivatives question

2020 · Shift 1 · Q24

JEE AdvancedMathematicsApplication of DerivativesMCQ+3 / −1

Consider the rectangles lying the region

\left\{ {(x,y) \in R \times R:0\, \le \,x\, \le \,{\pi \over 2}} \right.

and

\left. {0\, \le \,y\, \le \,2\sin (2x)} \right\}

and having one side on the X-axis. The area of the rectangle which has the maximum perimeter among all such rectangles, is

A
${{3\pi \over 2}}$
B
$\pi$
C
${\pi \over {2\sqrt 3 }}$
D
${{\pi \sqrt 3 } \over 2}$

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