11
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{7942af14-fb10-42ba-b77a-b50ce65a7bcc-3_527_1125_794_513}
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\caption{Fig. 11}
\end{figure}
Fig. 11 shows the line through the points \(\mathrm { A } ( - 1,3 )\) and \(\mathrm { B } ( 5,1 )\).
- Find the equation of the line through A and B .
- Show that the area of the triangle bounded by the axes and the line through A and B is \(\frac { 32 } { 3 }\) square units.
- Show that the equation of the perpendicular bisector of AB is \(y = 3 x - 4\).
- A circle passing through A and B has its centre on the line \(x = 3\). Find the centre of the circle and hence find the radius and equation of the circle.