Edexcel C2 2009 January — Question 5

Exam BoardEdexcel
ModuleC2 (Core Mathematics 2)
Year2009
SessionJanuary
TopicCircles

5. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{12e54724-64a3-4dc0-b7d5-6ef6cc04124c-06_828_956_244_457} \captionsetup{labelformat=empty} \caption{Figure 2}
\end{figure} The points \(P ( - 3,2 ) , Q ( 9,10 )\) and \(R ( a , 4 )\) lie on the circle \(C\), as shown in Figure 2. Given that \(P R\) is a diameter of \(C\),
  1. show that \(a = 13\),
  2. find an equation for \(C\).