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JEE Math Practice Question

Let $$C$$ be the circle of minimum area touching the parabola $$y=6-x^2$$ and the lines $$y=\sqrt{3}|x|$$. Then, which one of the following points lies on the circle $$C$$ ?

  1. A.$$(1,2)$$
  2. B.$$(2,2)$$
  3. C.$$(1,1)$$
  4. D.$$(2,4)$$

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