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JEE Math Practice Question

The area (in sq. units) of the region $\left\{(x, \mathrm{y}): 0 \leq \mathrm{y} \leq 2|x|+1,0 \leq \mathrm{y} \leq x^2+1,|x| \leq 3\right\}$ is

  1. A.$\frac{32}{3}$
  2. B.$\frac{64}{3}$
  3. C.$\frac{17}{3}$
  4. D.$\frac{80}{3}$

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