OCR MEI Further Pure Core AS 2023 June — Question 5

Exam BoardOCR MEI
ModuleFurther Pure Core AS (Further Pure Core AS)
Year2023
SessionJune
TopicComplex Numbers Argand & Loci

5 The Argand diagram below shows the points representing 1 and \(z\), where \(| z | = 2\).
\includegraphics[max width=\textwidth, alt={}, center]{26cec6f9-78a7-4f0b-969a-13ad02510c25-3_577_595_312_242} Mark the points representing the following complex numbers on the copy of the diagram in the Printed Answer Booklet, labelling them clearly.
  • \(\mathrm { Z } ^ { * }\)
  • \(\frac { 1 } { z }\)
  • \(1 + z\)
  • iz