MathsJEE Main 24 Jan 2026, Shift 2·Q12·MCQ·Moderate

Area under Curves · Area between curves

Let

y = \lvert\alpha x - 5\rvert - \lvert 1 - \alpha x\rvert + \alpha x^2

denote the area of the region in the first quadrant bounded by

x = 0

,

x = 1

,

y^2 = x

and

y = \lvert\alpha x - 5\rvert - \lvert 1 - \alpha x\rvert + \alpha x^2

. Then

(f(0) + f(1))

is equal to

(1)9
(2)14
(3)7
(4)12

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