JEE Advanced 2017 Paper 2 Mathematics Q13

Mathematics

Problem

If the line x=αx=\alpha divides the area of region R={(x,y)∈R2:x3≤y≤x, 0≤x≤1}R=\{(x,y)\in\mathbb R^2:x^3\le y\le x,\ 0\le x\le1\} into two equal parts, then

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