OCR MEI FP1 2006 June — Question 4

Exam BoardOCR MEI
ModuleFP1 (Further Pure Mathematics 1)
Year2006
SessionJune
TopicComplex Numbers Argand & Loci

4 Indicate, on separate Argand diagrams,
  1. the set of points \(z\) for which \(| z - ( 3 - \mathrm { j } ) | \leqslant 3\),
  2. the set of points \(z\) for which \(1 < | z - ( 3 - \mathrm { j } ) | \leqslant 3\),
  3. the set of points \(z\) for which \(\arg ( z - ( 3 - \mathrm { j } ) ) = \frac { 1 } { 4 } \pi\).