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JEE Math Practice Question

The area of the region $$\left\{(x, y): x^{2} \leq y \leq\left|x^{2}-4\right|, y \geq 1\right\}$$ is

  1. A.$$\frac{4}{3}(4 \sqrt{2}+1)$$
  2. B.$$\frac{3}{4}(4 \sqrt{2}+1)$$
  3. C.$$\frac{4}{3}(4 \sqrt{2}-1)$$
  4. D.$$\frac{3}{4}(4 \sqrt{2}-1)$$

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