10.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{ff1cdb91-0286-4bc8-9e67-451500b2bf74-14_769_935_285_411}
\captionsetup{labelformat=empty}
\caption{Figure 2}
\end{figure}
Figure 2 shows a sketch of the curve \(C\) with equation
$$y = 2 - \frac { 1 } { x } , \quad x \neq 0$$
The curve crosses the \(x\)-axis at the point \(A\).
- Find the coordinates of \(A\).
- Show that the equation of the normal to \(C\) at \(A\) can be written as
$$2 x + 8 y - 1 = 0$$
The normal to \(C\) at \(A\) meets \(C\) again at the point \(B\), as shown in Figure 2 .
- Find the coordinates of \(B\).