AQA FP2 2013 June — Question 1

Exam BoardAQA
ModuleFP2 (Further Pure Mathematics 2)
Year2013
SessionJune
TopicComplex Numbers Argand & Loci
1
  1. Sketch on an Argand diagram the locus of points satisfying the equation $$| z - 6 \mathrm { i } | = 3$$
  2. It is given that \(z\) satisfies the equation \(| z - 6 \mathrm { i } | = 3\).
    1. Write down the greatest possible value of \(| z |\).
    2. Find the greatest possible value of \(\arg z\), giving your answer in the form \(p \pi\), where \(- 1 < p \leqslant 1\).
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