AQA FP2 2010 January — Question 2

Exam BoardAQA
ModuleFP2 (Further Pure Mathematics 2)
Year2010
SessionJanuary
TopicComplex Numbers Argand & Loci
2
  1. On the same Argand diagram, draw:
    1. the locus of points satisfying \(| z - 4 + 2 \mathrm { i } | = 4\);
    2. the locus of points satisfying \(| z | = | z - 2 \mathrm { i } |\).
  2. Indicate on your sketch the set of points satisfying both $$| z - 4 + 2 i | \leqslant 4$$ and $$| z | \geqslant | z - 2 \mathrm { i } |$$
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