MathsJEE Main 21 Jan 2026, Shift 1·Q2·MCQ·Easy–moderate

Area under Curves · Area between curves

The area of the region, inside the ellipse

x^2 + 4y^2 = 4

and outside the region bounded by the curves

y = \lvert x\rvert - 1

and

y = 1 - \lvert x\rvert

, is:

(1) $2(\pi - 1)$
(2) $2\pi - \dfrac12$
(3) $3(\pi - 1)$
(4) $2\pi - 1$

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