AQA FP2 2006 June — Question 4

Exam BoardAQA
ModuleFP2 (Further Pure Mathematics 2)
Year2006
SessionJune
TopicComplex Numbers Argand & Loci
4
  1. On one Argand diagram, sketch the locus of points satisfying:
    1. \(| z - 3 + 2 \mathrm { i } | = 4\);
    2. \(\quad \arg ( z - 1 ) = - \frac { 1 } { 4 } \pi\).
  2. Indicate on your sketch the set of points satisfying both $$| z - 3 + 2 i | \leqslant 4$$ and $$\arg ( z - 1 ) = - \frac { 1 } { 4 } \pi$$ (1 mark)
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