11.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{5cee336b-d9c9-4b18-ab82-52fdca1eb1e7-15_592_1394_274_283}
\captionsetup{labelformat=empty}
\caption{Figure 2}
\end{figure}
Figure 2 shows a sketch of the curve \(H\) with equation \(y = \frac { 3 } { x } + 4 , x \neq 0\).
- Give the coordinates of the point where \(H\) crosses the \(x\)-axis.
- Give the equations of the asymptotes to \(H\).
- Find an equation for the normal to \(H\) at the point \(P ( - 3,3 )\).
This normal crosses the \(x\)-axis at \(A\) and the \(y\)-axis at \(B\).
- Find the length of the line segment \(A B\). Give your answer as a surd.