Mathematics · 2025
JEE Main · 24 January 2025, Shift 1 · Q17
Consider the region R ={( x, y ): x ≤ y ≤ 9-11/3 x^2, x ≥ 0}. The area, of the largest rectangle of sides parallel to the coordinate axes and…
Consider the region $\displaystyle \mathrm{R}=\left\{(\mathrm{x}, \mathrm{y}): \mathrm{x} \leq \mathrm{y} \leq 9-\frac{11}{3} \mathrm{x}^2, \mathrm{x} \geq 0\right\}$.
The area, of the largest rectangle of sides parallel to the coordinate axes and inscribed in $\displaystyle R$, is:
Official answer
From NTA’s final answer key for this paper.
(1)
$\displaystyle \frac{567}{121}$
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.