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\includegraphics[max width=\textwidth, alt={}, center]{2ba2e0bf-d20a-41ab-a77c-86a08e700b40-2_885_803_1425_630}
The Argand diagram above shows a half-line \(l\) and a circle \(C\). The circle has centre 3 i and passes through the origin.
- Write down, in complex number form, the equations of \(l\) and \(C\).
[0pt] - Write down inequalities that define the region shaded in the diagram. [The shaded region includes the boundaries.]