JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumUnclassified (maths)If the area of the region {(x,y): 4−x2≤y≤x2, y≤4, x≥0}\{(x,y):\;4 - x^2 \le y \le x^2,\;y \le 4,\;x \ge 0\}{(x,y):4−x2≤y≤x2,y≤4,x≥0} is 802α−β\tfrac{80\sqrt{2}}{\alpha} - \betaα802−β, where α,β∈N\alpha,\beta\in\mathbb{N}α,β∈N, then α+β\alpha + \betaα+β is equal to:Your answerInteger or decimalCheckStep-by-step hintSkip · show solution