Cho \(A\left( {1;0;1} \right),\,\,B\left( {2; - 1;0} \right),\,\,C\left( {0;0;1} \right)\). Lập phương trình \(\left( P \right)\) qua \(C\) sao cho \(d\left( {A;\left( P \right)} \right) = d\left( {B;\left( P \right)} \right) = \dfrac{{\sqrt 2 }}{2}\).
A.\(\left[ \begin{array}{l}x + z - 1 = 0\\x + y = 0\end{array} \right.\)
B.\(x + z = 0\)
C.\(x + y + 2z - 2 = 0\)
D.\(x + z \pm 1 = 0\)