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Area Under the Curves question

2025 · 28 Jan · Shift 1 · Q45

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PYQ Library
JEE Main
Mathematics
Area Under the Curves
2025 · 28 Jan · Shift 1 · Q45

Area Under the Curves question

2025 · 28 Jan · Shift 1 · Q45

JEE MainMathematicsArea Under the CurvesMCQ+4 / −1

The area (in sq. units) of the region

\left\{(x, \mathrm{y}): 0 \leq \mathrm{y} \leq 2|x|+1,0 \leq \mathrm{y} \leq x^2+1,|x| \leq 3\right\}

is

A
$\frac{32}{3}$
B
$\frac{64}{3}$
C
$\frac{17}{3}$
D
$\frac{80}{3}$

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