MCQMediumJEE Main 2025 · 24 January, Shift 1Applications of Derivatives (Monotonicity, Extrema)

Mathematics Question from JEE Main 2025 · 24 January, Shift 1

Consider the region R={(x,y):xy9113x2,x0}.R = \left\{ (x, y): x \leq y \leq 9 - \frac{11}{3} x^2, x \geq 0 \right\}. The area of the largest rectangle of sides parallel to the coordinate axes and inscribed in RR is:

  • A

    625111\frac{625}{111}

  • B

    730119\frac{730}{119}

  • C

    567121\frac{567}{121}

  • D

    821123\frac{821}{123}

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