If the area of the region {(x, y): 1 - 2x ≤ y ≤ 4 - x², x ≥ 0, y… | JEE Main 2026 Mathematics PYQ

MCQMediumJEE Main 2026 · 21 January, Shift 2Applications of Integrals (Area)

If the area of the region $\{(x, y) : 1 - 2x \le y \le 4 - x^2, x \ge 0, y \ge 0\}$ is $\frac{\alpha}{\beta}$ , $\alpha, \beta \in \mathbb{N}$ , $\gcd(\alpha, \beta) = 1$ , then the value of $(\alpha + \beta)$ is :

A
$67$
B
$85$
C
$91$
D
$73$

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