3.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{582cda45-80fc-43a8-90e6-1cae08cb1534-05_791_917_121_484}
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\caption{Figure 2}
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Diagram not drawn to scale
The circle \(C\) has centre \(P ( 7,8 )\) and passes through the point \(Q ( 10,13 )\), as shown in Figure 2.
- Find the length \(P Q\), giving your answer as an exact value.
- Hence write down an equation for \(C\).
The line \(l\) is a tangent to \(C\) at the point \(Q\), as shown in Figure 2.
- Find an equation for \(l\), giving your answer in the form \(a x + b y + c = 0\), where \(a , b\) and \(c\) are integers.