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Area Under The Curves

JEE Main 2024 (Online) 1st February Evening Shift

INTEGER+4 / -12024
The sum of squares of all possible values of $k$, for which area of the region bounded by the parabolas $2 y^2=\mathrm{k} x$ and $\mathrm{ky}^2=2(y-x)$ is maximum, is equal to :

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