SPS SPS FM 2025 February — Question 8

Exam BoardSPS
ModuleSPS FM (SPS FM)
Year2025
SessionFebruary
TopicComplex Numbers Argand & Loci

8. A locus \(C _ { 1 }\) is defined by \(C _ { 1 } = \{ z : | z + \mathrm { i } | \leq | z - 2 | \}\).
  1. Indicate by shading on the Argand diagram below the region representing \(C _ { 1 }\).
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  2. Find the cartesian equation of the boundary line of the region representing \(C _ { 1 }\), giving your answer in the form \(a x + b y + c = 0\).
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