11.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{cfc23548-bf4f-4efa-9ceb-b8d03bb1f019-16_556_1214_219_370}
\captionsetup{labelformat=empty}
\caption{Figure 2}
\end{figure}
The line \(y = x + 2\) meets the curve \(x ^ { 2 } + 4 y ^ { 2 } - 2 x = 35\) at the points \(A\) and \(B\) as shown in Figure 2.
- Find the coordinates of \(A\) and the coordinates of \(B\).
- Find the distance \(A B\) in the form \(r \sqrt { 2 }\) where \(r\) is a rational number.