SPS SPS FM 2022 November — Question 1

Exam BoardSPS
ModuleSPS FM (SPS FM)
Year2022
SessionNovember
TopicComplex Numbers Argand & Loci

1.
\includegraphics[max width=\textwidth, alt={}, center]{657b12c4-cab7-4fc1-9481-94131aeeb6b9-05_1031_938_262_529} The Argand diagram above shows a half-line \(l\) and a circle \(C\). The circle has centre 3 i and passes through the origin.
  1. Write down, in complex number form, the equations of \(l\) and \(C\).
    [0pt]
  2. Write down inequalities that define the region shaded in the diagram. [The shaded region includes the boundaries.]