SPS SPS FM Pure 2024 February — Question 7

Exam BoardSPS
ModuleSPS FM Pure (SPS FM Pure)
Year2024
SessionFebruary
TopicComplex Numbers Argand & Loci

7. In an Argand diagram the points representing the numbers \(2 + 3 \mathrm { i }\) and \(1 - \mathrm { i }\) are two adjacent vertices of a square, \(S\).
  1. Find the area of \(S\).
  2. Find all the possible pairs of numbers represented by the other two vertices of \(S\).
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