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Area Under the Curves question

2023 · 29 Jan · Shift 1 · Q33

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PYQ Library
JEE Main
Mathematics
Area Under the Curves
2023 · 29 Jan · Shift 1 · Q33

Area Under the Curves question

2023 · 29 Jan · Shift 1 · Q33

JEE MainMathematicsArea Under the CurvesMCQ+4 / −1

Let

\Delta

be the area of the region

\left\{ {(x,y) \in {R^2}:{x^2} + {y^2} \le 21,{y^2} \le 4x,x \ge 1} \right\}

. Then

{1 \over 2}\left( {\Delta - 21{{\sin }^{ - 1}}{2 \over {\sqrt 7 }}} \right)

is equal to

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

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