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JEE Math Practice Question

The centre of the circle passing through the point (0, 1) and touching the parabola y = x2 at the point (2, 4) is :

  1. A.$$\left( {{6 \over 5},{{53} \over {10}}} \right)$$
  2. B.$$\left( {{3 \over {10}},{{16} \over 5}} \right)$$
  3. C.$$\left( {{{ - 53} \over {10}},{{16} \over 5}} \right)$$
  4. D.$$\left( {{{ - 16} \over 5},{{53} \over {10}}} \right)$$

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