SPS SPS FM 2022 January — Question 2

Exam BoardSPS
ModuleSPS FM (SPS FM)
Year2022
SessionJanuary
TopicComplex Numbers Argand & Loci
2. The complex number \(3 + 4 \mathrm { i }\) is denoted by \(a\).
  1. Find \(| a |\) and \(\arg a\).
  2. Sketch on a single Argand diagram the loci given by
    (a) \(| z - a | = | a |\),
    (b) \(\quad \arg ( z - 3 ) = \arg a\).
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