NVAMediumJEE Main 2023 · 25 January, Shift 1Applications of Integrals (Area)

Mathematics Question from JEE Main 2023 · 25 January, Shift 1

It the area enclosed by the parabolas P1:2y=5x2P_1: 2y = 5x^2 and P2:x2y+6=0P_2: x^2 - y + 6 = 0 is equal to the area enclosed by P1P_1 and y=αx,α>0y = \alpha x, \alpha > 0, then α3\alpha^3 is equal to _____.

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