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Application of Integration question

2024 · Shift 2 · Q19

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PYQ Library
JEE Advanced
Mathematics
Application of Integration
2024 · Shift 2 · Q19

Application of Integration question

2024 · Shift 2 · Q19

JEE AdvancedMathematicsApplication of IntegrationMCQ+3 / −1

Let

S=\left\{(x, y) \in \mathbb{R} \times \mathbb{R}: x \geq 0, y \geq 0, y^2 \leq 4 x, y^2 \leq 12-2 x\right.

and

\left.3 y+\sqrt{8} x \leq 5 \sqrt{8}\right\}

. If the area of the region

S

is

\alpha \sqrt{2}

, then

\alpha

is equal to

A
$\frac{17}{2}$
B
$\frac{17}{3}$
C
$\frac{17}{4}$
D
$\frac{17}{5}$

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