OCR Further Pure Core 1 2021 November — Question 1

Exam BoardOCR
ModuleFurther Pure Core 1 (Further Pure Core 1)
Year2021
SessionNovember
TopicComplex Numbers Argand & Loci

1
  1. Sketch on a single Argand diagram the loci given by
    1. \(\quad | z - 1 + 2 i | = 3\),
    2. \(\quad | z + 1 | = | z - 2 |\).
  2. Indicate, by shading, the region of the Argand diagram for which \(| z - 1 + 2 i | \leqslant 3\) and \(| z + 1 | \leqslant | z - 2 |\).