defence exam Agniveer Vayu Group X & XY Mock Test 01/2026 Mathematics Differential Calculus Applications of Derivatives
Consider the region
\(\mathrm{R}=\left\{(\mathrm{x}, \mathrm{y}): \mathrm{x} \leq \mathrm{y} \leq 9-\frac{11}{3} \mathrm{x}^{2}, \mathrm{x} \geq 0\right\}\). The area, of the largest rectangle of sides parallel to the coordinate axes and inscribed in R, is :
1
\(\frac{625}{111}\)
2
\(\frac{730}{119}\)
3
\(\frac{567}{121}\)
4
\(\frac{821}{123}\)