Trong mặt phẳng tọa độ \(Oxy\) cho đường tròn \((C):{\left( {x - 1} \right)^2} + {\left( {y + 2} \right)^2} = 4.

A. \(\left( {C'} \right):{\left( {x + \frac{1}{3}} \right)^2} + {\left( {y - \frac{4}{3}} \right)^2} = \frac{4}{9}\)

B. \(\left( {C'} \right):{\left( {x - \frac{1}{3}} \right)^2} + {\left( {y - \frac{4}{3}} \right)^2} = \frac{2}{3}\)

C. \(\left( {C'} \right):{\left( {x + \frac{1}{3}} \right)^2} + {\left( {y - \frac{4}{3}} \right)^2} = \frac{2}{3}\)

D. \(\left( {C'} \right):{\left( {x - \frac{1}{3}} \right)^2} + {\left( {y - \frac{4}{3}} \right)^2} = \frac{4}{9}\)