SPS SPS SM Pure 2023 June — Question 8

Exam BoardSPS
ModuleSPS SM Pure (SPS SM Pure)
Year2023
SessionJune
TopicCircles

8. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{f953fd1c-447f-4e97-a42a-5264c053fda0-16_801_1049_255_555} \captionsetup{labelformat=empty} \caption{Figure 4}
\end{figure} A circle with centre \(( 9 , - 6 )\) touches the \(x\)-axis as shown in Figure 4.
  1. Write down an equation for the circle. A line \(l\) is parallel to the \(x\)-axis.
    The line \(l\) cuts the circle at points \(P\) and \(Q\).
    Given that the distance \(P Q\) is 8
  2. find the two possible equations for \(l\).