Let S = \(x, y) ∈ R × R : x ≥ 0, y ≥ 0, y^2 ≤ 4x, y^2 ≤ 12 - 2x and 3y + √(8) x ≤ 5√(8) \. If the area of the region S is α√(2), then α is equal to

Let S = \(x, y) ∈ R × R : x ≥ 0, y ≥ 0, y^2 ≤ 4x, y^2 ≤ 12… — JEE Advanced 2024 Mathematics PYQ

JEE Advanced 2024 · Paper 2

Let

S = \left\{(x, y) \in \mathbb{R} \times \mathbb{R} : \ x \geq 0, y \geq 0, \ y^2 \leq 4x, \ y^2 \leq 12 - 2x \ \text{and} \ 3y + \sqrt{8} \ x \leq 5\sqrt{8}\right\}

. If the area of the region

S

\alpha\sqrt{2}

, then

\alpha

is equal to

Show answer

Correct option: B

[JEE Advanced 2024 · Paper 2]

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