\[\left\{ \begin{matrix} |z + 1 - i| = \sqrt{2} \\ |z| = 3\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \\ \end{matrix} \right.\ \]
\[1)\ |z + 1 - i| = \sqrt{2}\]
\[x_{0} = - 1;\ y_{0} = 1;\ \ \ R = \sqrt{2}:\]
\[(x + 1)^{2} + (y - 1)^{2} = 2.\]
\[2)\ |z| = 3\]
\[x_{0} = 0;\text{\ \ \ }y_{0} = 0;\text{\ \ \ R} = 3:\]
\[x^{2} + y^{2} = 9.\]
\[3)\ \]