Math 6310 • Algebra

Find all the maximal ideals in the following rings:
\begin{enumerate}
\item[(a)]
\[
\mathbb{Q}[x,y]/\langle xy-2,x^2-y^2\rangle
\]
\item[(b)]
\[
\mathbb{R}[x,y]/\langle xy-2,x^2-y^2\rangle
\]
\item[(c)]
\[
\mathbb{C}[x,y]/\langle xy-2,x^2-y^2\rangle
\]
\end{enumerate}