Let A be the region enclosed by the parabola y²=2 x and the line x=24. Then the maximum area of the rectangle inscribed in the region A is _ _ _ _.

Limit, Continuity and Differentiability: JEE Main 2024 Mathematics question

JEE Main 2024 · 8 Apr, Evening shift · Q30

JEE Main 20248 Apr, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

Let

\mathrm{A}

be the region enclosed by the parabola

y^2=2 x

and the line

x=24

. Then the maximum area of the rectangle inscribed in the region

\mathrm{A}

is ________.

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