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Area Under the Curves question

2023 · 25 Jan · Shift 1 · Q45

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PYQ Library
JEE Main
Mathematics
Area Under the Curves
2023 · 25 Jan · Shift 1 · Q45

Area Under the Curves question

2023 · 25 Jan · Shift 1 · Q45

JEE MainMathematicsArea Under the CurvesNumerical+4 / −1

If the area enclosed by the parabolas

\mathrm{P_1:2y=5x^2}

and

\mathrm{P_2:x^2-y+6=0}

is equal to the area enclosed by

\mathrm{P_1}

and

\mathrm{y=\alpha x,\alpha \gt 0}

, then

\alpha^3

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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