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Area Under the Curves question

2025 · 28 Jan · Shift 2 · Q26

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JEE Main
Mathematics
Area Under the Curves
2025 · 28 Jan · Shift 2 · Q26

Area Under the Curves question

2025 · 28 Jan · Shift 2 · Q26

JEE MainMathematicsArea Under the CurvesMCQ+4 / −1

The area of the region bounded by the curves

x(1+y^2)=1

and

y^2=2x

is:

A
$\frac{\pi}{4} - \frac{1}{3}$
B
$\frac{\pi}{2} - \frac{1}{3}$
C
$2\left(\frac{\pi}{2} - \frac{1}{3}\right)$
D
$\frac{1}{2}\left(\frac{\pi}{2} - \frac{1}{3}\right)$

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