JEE Advanced 2024 Paper 2 Mathematics Q2

Mathematics

Problem

Let S = {(x, y) ∈ ℝ × ℝ : x ≥ 0, y ≥ 0, y² ≤ 4x, y² ≤ 12 − 2x and 3y + √8 x ≤ 5√8}. If the area of the region S is α√2, then α is equal to