AQA FP2 2012 June — Question 2

Exam BoardAQA
ModuleFP2 (Further Pure Mathematics 2)
Year2012
SessionJune
TopicComplex Numbers Argand & Loci

2
  1. Draw on the Argand diagram below:
    1. the locus of points for which $$| z - 2 - 3 \mathrm { i } | = 2$$
    2. the locus of points for which $$| z + 2 - \mathrm { i } | = | z - 2 |$$
  2. Indicate on your diagram the points satisfying both $$| z - 2 - 3 \mathrm { i } | = 2$$ and $$| z + 2 - \mathrm { i } | \leqslant | z - 2 |$$ (l mark)
    \includegraphics[max width=\textwidth, alt={}, center]{ff63460d-0fa1-437d-bc08-3e7ce809e32b-3_1404_1431_1043_319}