7.
\begin{figure}[h]
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\caption{Figure 1}
\includegraphics[alt={},max width=\textwidth]{813612f1-92c8-456d-84a2-aa6bb91b8a6a-3_689_1077_927_484}
\end{figure}
Fig. 1 shows the curve with equation \(y ^ { 2 } = 4 ( x - 2 )\) and the line with equation \(2 x - 3 y = 12\).
The curve crosses the \(x\)-axis at the point \(A\), and the line intersects the curve at the points \(P\) and \(Q\).
- Write down the coordinates of \(A\).
- Find, using algebra, the coordinates of \(P\) and \(Q\).
- Show that \(\angle P A Q\) is a right angle.