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Area Under the Curves question

2023 · 29 Jan · Shift 1 · Q37

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PYQ Library
JEE Main
Mathematics
Area Under the Curves
2023 · 29 Jan · Shift 1 · Q37

Area Under the Curves question

2023 · 29 Jan · Shift 1 · Q37

JEE MainMathematicsArea Under the CurvesMCQ+4 / −1

Let

A=\left\{(x, y) \in \mathbb{R}^{2}: y \geq 0,2 x \leq y \leq \sqrt{4-(x-1)^{2}}\right\}

and

B=\left\{(x, y) \in \mathbb{R} \times \mathbb{R}: 0 \leq y \leq \min \left\{2 x, \sqrt{4-(x-1)^{2}}\right\}\right\} \text {. }

. Then the ratio of the area of A to the area of B is

A
$\frac{\pi}{\pi+1}$
B
$\frac{\pi-1}{\pi+1}$
C
$\frac{\pi}{\pi-1}$
D
$\frac{\pi+1}{\pi-1}$

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