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JEE Math Practice Question

The centre of the circle passing through (0, 0) and (1, 0) and touching the circle $${x^2}\, + \,{y^2} = 9$$ is :

  1. A.$$\left( {{1 \over 2},\,{1 \over 2}} \right)$$
  2. B.$$\left( {{1 \over 2},\, - \,\sqrt 2 } \right)$$
  3. C.$$\left( {{3 \over 2},\,{1 \over 2}} \right)$$
  4. D.$$\left( {{1 \over 2},\,{3 \over 2}} \right)$$

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