SPS SPS ASFM 2020 May — Question 1

Exam BoardSPS
ModuleSPS ASFM (SPS ASFM)
Year2020
SessionMay
TopicComplex Numbers Argand & Loci

1. You are given that \(z = 3 - 4 \mathrm { i }\).
  1. Find
    • \(| z |\),
    • \(\arg ( z )\),
    • \(z ^ { * }\).
    On an Argand diagram the complex number \(w\) is represented by the point \(A\) and \(w ^ { * }\) is represented by the point \(B\).
  2. Describe the geometrical relationship between the points \(A\) and \(B\).