AS June 2023 Paper 1 Q5
5 The Argand diagram below shows the points representing 1 and \(z\), where \(|z| = 2\).
Mark the points representing the following complex numbers on the copy of the diagram in the Printed Answer Booklet, labelling them clearly.
- \(z^*\)
- \(\dfrac{1}{z}\)
- \(1 + z\)
- \(\mathrm{i}z\) [4]
| Scheme | Marks | AO |
|---|---|---|
 | B1 B1 B1 B1 | 1.1 1.1 1.1 1.1 |
| [4] |
Notes
B1: \(z^*\): reflection of \(z\) in Re axis
B1: \(1 + z\): 1 unit to right of \(z\)
B1: \(1/z\): \(\arg = -\arg z\) (must be \(\lt 45^\circ\)), \(\frac{1}{2}\) unit from O
B1: \(\mathrm{i}z\): rotation of \(z\) \(90^\circ\) anticlockwise about O
Give mark if intention is clear.