MyGoalPrep LogoMyGoalPrep.com

Jee Main 2025 — Medium JEE math MCQ

Consider the region \( R = \{ (x, y) : x \leq y \leq 9 - \frac{1}{11}x^2, x \geq 0 \} \). The area, of the largest rectangle of sides parallel to the coordinate axes and inscribed in \( R \), is
  1. A. \( \frac{90}{11} \)
  2. B. \( \frac{85}{11} \)
  3. C. \( \frac{61}{12} \)
  4. D. \( \frac{567}{121} \)

Solution

The correct option is **D**. (D. \( \frac{567}{121} \))

MATH

medium • PYQ Reworded
Question
Read carefully, then pick the best option.
Consider the region R={(x,y):x≤y≤9−111x2,x≥0} R = \{ (x, y) : x \leq y \leq 9 - \frac{1}{11}x^2, x \geq 0 \} . The area, of the largest rectangle of sides parallel to the coordinate axes and inscribed in R R , is
AI hints
Ask for a nudge. Keep it specific.