MathematicsMedium92×since 2002Q4744The centre of the circle passing through the point (0, 1) and touching the parabola y = x² at the point (2, 4) is :A(65,5310)\left( {{6 \over 5},{{53} \over {10}}} \right)(56,1053)B(310,165)\left( {{3 \over {10}},{{16} \over 5}} \right)(103,516)C(−5310,165)\left( {{{ - 53} \over {10}},{{16} \over 5}} \right)(10−53,516)D(−165,5310)\left( {{{ - 16} \over 5},{{53} \over {10}}} \right)(5−16,1053)Check answerSkip