2 The locus \(C _ { 1 }\) is defined by \(C _ { 1 } = \left\{ z : 0 \leqslant \arg ( z + i ) \leqslant \frac { 1 } { 4 } \pi \right\}\).
- Indicate by shading on the Argand diagram in the Printed Answer Booklet the region representing \(C _ { 1 }\).
- Determine whether the complex number \(1.2 + 0.8\) is is \(C _ { 1 }\).
The locus \(C _ { 2 }\) is the set of complex numbers represented by the interior of the circle with radius 2 and centre 3 . The locus \(C _ { 2 }\) is illustrated on the Argand diagram below.
\includegraphics[max width=\textwidth, alt={}, center]{fbb82fa2-b316-44ae-a19e-197b45f51c87-2_698_920_1009_239} - Use set notation to define \(C _ { 2 }\).
- Determine whether the complex number \(1.2 + 0.8\) is in \(C _ { 2 }\).