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JEE Math Practice Question

The area of the smaller region enclosed by the curves $$y^{2}=8 x+4$$ and $$x^{2}+y^{2}+4 \sqrt{3} x-4=0$$ is equal to

  1. A.$$\frac{1}{3}(2-12 \sqrt{3}+8 \pi)$$
  2. B.$$\frac{1}{3}(2-12 \sqrt{3}+6 \pi)$$
  3. C.$$\frac{1}{3}(4-12 \sqrt{3}+8 \pi)$$
  4. D.$$\frac{1}{3}(4-12 \sqrt{3}+6 \pi)$$

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