question_answer

The centre of the circle passing through the point (0,1) and touching the curve \[y={{x}^{2}}\]at (2, 4) is:

A)  \[\left( \frac{-16}{5},\frac{27}{10} \right)\]                     

B)  \[\left( \frac{-16}{7},\frac{53}{10} \right)\]

C)  \[\left( \frac{-16}{5},\frac{53}{10} \right)\]

D)  \[\left( \frac{16}{5},\frac{-53}{10} \right)\]

E)  None of these