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General — Hard JEE math MCQ

The area of the region $\left\{(x, y): x y \leq 8,1 \leq y \leq x^{2}\right\}$ is
  1. A. $16 \log _{e} 2-\frac{14}{3}$
  2. B. $8 \log _{e} 2-\frac{14}{3}$
  3. C. $16 \log _{e} 2-6$
  4. D. $8 \log _{e} 2-\frac{7}{3}$

Solution

The correct option is **A**.

MATH

hard • PYQ Reworded
Question
Read carefully, then pick the best option.
The area of the region {(x,y):xy≤8,1≤y≤x2}\left\{(x, y): x y \leq 8,1 \leq y \leq x^{2}\right\} is
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General — Hard JEE Mathematics MCQ | MyGoalPrep