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MathsJEE Main 21 Jan 2026, Shift 2·Q11·MCQ·Easy–moderate

Area under Curves · Area between curves

If the area of the region {(x,y):1−2x≤y≤4−x2, x≥0,y≥0}\{(x, y) : 1 - 2x \le y \le 4 - x^2,\ x \ge 0, y \ge 0\} is αβ\dfrac{\alpha}{\beta}, α,β,∈N\alpha, \beta, \in \mathbb{N}, gcd⁡(α,β)=1\gcd(\alpha, \beta) = 1, then the value of (α+β)(\alpha + \beta) is:
  1. (1)73
  2. (2)85
  3. (3)91
  4. (4)67

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