已知\(A(0,7)\),\(B(0,-7)\),\(C(12,2)\),以\(C\)为一个焦点作过\(A\),\(B\)的椭圆,则椭圆的另一个焦点 \(F\)的轨迹方程是 ( )
A. \(y^{2}-\dfrac{x^{2}}{48}=1\)
B. \(x^{2}-\dfrac{y^{2}}{48}=1\) C. \(y^{2}-\dfrac{x^{2}}{48}=1\left( y{\leqslant }\mathrm{{-}}1 \right)\) D. \(x^{2}-\dfrac{y^{2}}{48}=1\left( y{\geqslant }1 \right)\)