Cho mặt phẳng \(\left( P \right):\,\,x - 2y + 2z - 1 = 0,\,\,\left( S \right):\,\,{x^2} + {y^2} + {z^2} + 2y - 2z - 23 = 0\). \(\left( P \right) \cap \left( S \right) = \left( C \right)\). Tìm tâm \(J\) của \(\left( C \right)\).
A.\(J\left( {\dfrac{1}{3}; - \dfrac{1}{3};\dfrac{1}{3}} \right)\)
B.\(J\left( { - \dfrac{1}{3}; - \dfrac{1}{3}; - \dfrac{1}{3}} \right)\)
C.\(J\left( {\dfrac{1}{3};\dfrac{1}{3};\dfrac{1}{3}} \right)\)
D.\(J\left( { - \dfrac{1}{3}; - \dfrac{1}{3};\dfrac{1}{3}} \right)\)