JEE Main 202325 Jan, Morning shiftMathematicsMediumIntegral Calculus369× since 2002If the area enclosed by the parabolas P1:2y=5x2\mathrm{P_1:2y=5x^2}P1:2y=5x2 and P2:x2−y+6=0\mathrm{P_2:x^2-y+6=0}P2:x2−y+6=0 is equal to the area enclosed by P1\mathrm{P_1}P1 and y=αx,α>0\mathrm{y=\alpha x,\alpha > 0}y=αx,α>0, then α3\alpha^3α3 is equal to ____________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution