\[\boxed{\text{914\ (914).\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[1)\ 12x + 17y = 0\]
\[(0;0) \Longrightarrow 12 \cdot 0 + 17 \cdot 0 = 0\]
\[0 = 0 \Longrightarrow \ проходит;\]
\[2)\ x² - \text{xy} + 2 = 0\]
\[\ (0;0) \Longrightarrow 0 - 0 + 2 = 0\ \]
\[2 \neq 0 \Longrightarrow \ \ не\ проходит;\]
\[3)\ x³ - 4y = y^{2} + 3x\]
\[(0;0) \Longrightarrow 0 - 0 = 0 + 0\]
\[0 = 0 \Longrightarrow \ \ проходит.\ \]