AQA FP2 2007 January — Question 2

Exam BoardAQA
ModuleFP2 (Further Pure Mathematics 2)
Year2007
SessionJanuary
TopicComplex Numbers Argand & Loci
2
  1. Sketch on one diagram:
    1. the locus of points satisfying \(| z - 4 + 2 \mathrm { i } | = 2\);
    2. the locus of points satisfying \(| z | = | z - 3 - 2 \mathrm { i } |\).
  2. Shade on your sketch the region in which
    both $$| z - 4 + 2 i | \leqslant 2$$ and $$| z | \leqslant | z - 3 - 2 \mathrm { i } |$$
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