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Jee Main 2025 — Medium JEE math MCQ

Let the area enclosed between the curves \( |y| = 1 - x^2 \) and \( x^2 + y^2 = 1 \) be \( \alpha \). If \( 9\alpha = \beta \pi + \gamma \), \( \beta, \gamma \) are integers, then the value of \(|\beta - \gamma|\) equals.
  1. A. 27
  2. B. 33
  3. C. 15
  4. D. 18

Solution

The correct option is **B**. (B. 33)

MATH

medium • PYQ Reworded
Question
Read carefully, then pick the best option.
Let the area enclosed between the curves ∣y∣=1−x2 |y| = 1 - x^2 and x2+y2=1 x^2 + y^2 = 1 be α \alpha . If 9α=βπ+γ 9\alpha = \beta \pi + \gamma , β,γ \beta, \gamma are integers, then the value of ∣β−γ∣|\beta - \gamma| equals.
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