Let S={(x, y) ∈ R × R...... | JEE Advanced 2024 | Area Under

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JEE Advanced 2024

Paper-2 2024

Question

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

Select the correct option:

A

$\frac{17}{2}$

B

$\frac{17}{3}$

C

$\frac{17}{4}$

D

$\frac{17}{5}$

✓ Correct! Well done.

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