\[\boxed{\text{364\ (364).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[1)\frac{y - x^{2}}{(x - 1)^{2} + (y - 1)^{2}} = 0\]
\[\left\{ \begin{matrix} y - x^{2} = 0\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \\ (x - 1)^{2} + (y - 1)^{2} \neq 0 \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ \ \ \ }\]
\[\ \left\{ \begin{matrix} y = x^{2} \\ x \neq 1\ \ \\ y \neq 1\ \ \\ \end{matrix} \right.\ \]
\[2)\ \frac{y - x^{2}}{y - x} = 0\]
\[\left\{ \begin{matrix} y - x^{2} = 0 \\ y - x \neq 0\ \ \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ \ \ }\left\{ \begin{matrix} y = x^{2} \\ y \neq x\ \ \\ \end{matrix} \right.\ \ \]
\[x \neq 0;\ \ \ x \neq 1\ \]