6 A circle has centre \(C ( 10,4 )\). The \(x\)-axis is a tangent to the circle, as shown in Fig. 6.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{99485c27-9ff8-4bdb-a7e6-49dfcaedc579-5_605_828_979_255}
\captionsetup{labelformat=empty}
\caption{Fig. 6}
\end{figure}
- Find the equation of the circle.
- Show that the line \(y = x\) is not a tangent to the circle.
- Write down the position vector of the midpoint of OC.