11.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{6db8acbd-7f61-46ff-8fdc-f0f4a8363aa6-17_700_1556_276_201}
\captionsetup{labelformat=empty}
\caption{Figure 3}
\end{figure}
A sketch of part of the curve \(C\) with equation
$$y = 20 - 4 x - \frac { 18 } { x } , \quad x > 0$$
is shown in Figure 3.
Point \(A\) lies on \(C\) and has an \(x\) coordinate equal to 2
- Show that the equation of the normal to \(C\) at \(A\) is \(y = - 2 x + 7\)
The normal to \(C\) at \(A\) meets \(C\) again at the point \(B\), as shown in Figure 3 .
- Use algebra to find the coordinates of \(B\).