OCR Further Pure Core AS 2019 June — Question 1

Exam BoardOCR
ModuleFurther Pure Core AS (Further Pure Core AS)
Year2019
SessionJune
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 \(B\).