11.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{d31369fa-9532-4a09-b67d-a3a3cbf7d586-34_833_1033_248_516}
\captionsetup{labelformat=empty}
\caption{Figure 3}
\end{figure}
Figure 3 shows the circle \(C\) with equation
$$x ^ { 2 } + y ^ { 2 } - 10 x - 8 y + 32 = 0$$
and the line \(l\) with equation
$$2 y + x + 6 = 0$$
- Find
- the coordinates of the centre of \(C\),
- the radius of \(C\).
- Find the shortest distance between \(C\) and \(l\).