Let the area enclosed between the curves |y|=1-x² and x²+y²=1 be α. If 9α=βπ+γ, β, γ are integers, then the value of |β-γ| equals:

Integral Calculus: JEE Main 2025 Mathematics question

JEE Main 2025 · January, Unspecified (session-level dataset) · Q136

JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumIntegral Calculus369× since 2002

Let the area enclosed between the curves

|y|=1-x^2

and

x^2+y^2=1

\alpha

. If

9\alpha=\beta\pi+\gamma

\beta, \gamma

are integers, then the value of

|\beta-\gamma|

equals: