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JEE Math Practice Question

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

  1. A.$\frac{821}{123}$
  2. B.$\frac{567}{121}$
  3. C.$\frac{730}{119}$
  4. D.$\frac{625}{111}$

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