OCR MEI FP1 2005 June — Question 5

Exam BoardOCR MEI
ModuleFP1 (Further Pure Mathematics 1)
Year2005
SessionJune
TopicComplex Numbers Argand & Loci

5
  1. Sketch the locus \(| z - ( 3 + 4 j ) | = 2\) on an Argand diagram.
  2. On the same diagram, sketch the locus \(\arg ( z - 4 ) = \frac { 1 } { 2 } \pi\).
  3. Indicate clearly on your sketch the points which satisfy both $$| z - ( 3 + 4 j ) | = 2 \quad \text { and } \quad \arg ( z - 4 ) = \frac { 1 } { 2 } \pi$$