OCR MEI FP1 2015 June — Question 4

Exam BoardOCR MEI
ModuleFP1 (Further Pure Mathematics 1)
Year2015
SessionJune
TopicComplex Numbers Argand & Loci

4 Indicate, on a single Argand diagram
  1. the set of points for which \(\arg ( z - ( - 1 - \mathrm { j } ) ) = \frac { \pi } { 4 }\),
  2. the set of points for which \(| z - ( 1 + 2 j ) | = 2\),
  3. the set of points for which \(| z - ( 1 + 2 j ) | \geqslant 2\) and \(0 \leqslant \arg ( z - ( - 1 - j ) ) \leqslant \frac { \pi } { 4 }\).