8 Fig. 8 shows an Argand diagram.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{fa71f270-53cb-44ba-b3a6-3953fa5c4232-3_421_586_1105_778}
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\caption{Fig. 8}
\end{figure}
- Write down the equation of the locus represented by the perimeter of the circle in the Argand diagram.
- Write down the equation of the locus represented by the half-line \(\ell\) in the Argand diagram.
- Express the complex number represented by the point P in the form \(a + b \mathrm { j }\), giving the exact values of \(a\) and \(b\).
- Use inequalities to describe the set of points that fall within the shaded region (excluding its boundaries) in the Argand diagram.