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Area Under the Curves question

2023 · 29 Jan · Shift 2 · Q32

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PYQ Library
JEE Main
Mathematics
Area Under the Curves
2023 · 29 Jan · Shift 2 · Q32

Area Under the Curves question

2023 · 29 Jan · Shift 2 · Q32

JEE MainMathematicsArea Under the CurvesMCQ+4 / −1

The area of the region

A = \left\{ {(x,y):\left| {\cos x - \sin x} \right| \le y \le \sin x,0 \le x \le {\pi \over 2}} \right\}

is

A
$\sqrt 5 + 2\sqrt 2 - 4.5$
B
$1 - {3 \over {\sqrt 2 }} + {4 \over {\sqrt 5 }}$
C
$\sqrt 5 - 2\sqrt 2 + 1$
D
${3 \over {\sqrt 5 }} - {3 \over {\sqrt 2 }} + 1$

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