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Area Under the Curves question

2024 · 9 Apr · Shift 1 · Q34

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JEE Main
Mathematics
Area Under the Curves
2024 · 9 Apr · Shift 1 · Q34

Area Under the Curves question

2024 · 9 Apr · Shift 1 · Q34

JEE MainMathematicsArea Under the CurvesMCQ+4 / −1

The parabola

y^2=4 x

divides the area of the circle

x^2+y^2=5

in two parts. The area of the smaller part is equal to :

A
$\frac{2}{3}+5 \sin ^{-1}\left(\frac{2}{\sqrt{5}}\right)$
B
$\frac{2}{3}+\sqrt{5} \sin ^{-1}\left(\frac{2}{\sqrt{5}}\right)$
C
$\frac{1}{3}+5 \sin ^{-1}\left(\frac{2}{\sqrt{5}}\right)$
D
$\frac{1}{3}+\sqrt{5} \sin ^{-1}\left(\frac{2}{\sqrt{5}}\right)$

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