JEE Main 202621 Jan, Morning shiftMathematicsEasyIntegral Calculus369× since 2002The area of the region, inside the ellipse x2+4y2=4x^2+4y^2=4x2+4y2=4 and outside the region bounded by the curves y=∣x∣−1y=|x|-1y=∣x∣−1 and y=1−∣x∣y=1-|x|y=1−∣x∣, is :AOption A. 2(π−1)2(\pi-1)2(π−1)BOption B. 2π−12\pi-12π−1COption C. 3(π−1)3(\pi-1)3(π−1)DOption D. 2π−122\pi-\frac{1}{2}2π−21CheckSkip · show solution