OCR FP1 2008 January — Question 4

Exam BoardOCR
ModuleFP1 (Further Pure Mathematics 1)
Year2008
SessionJanuary
TopicComplex Numbers Arithmetic
TypeMultiplication and powers of complex numbers
4 The complex number \(3 - 4 \mathrm { i }\) is denoted by \(z\). Giving your answers in the form \(x + \mathrm { i } y\), and showing clearly how you obtain them, find
  1. \(2 z + 5 z ^ { * }\),
  2. \(( z - \mathrm { i } ) ^ { 2 }\),
  3. \(\frac { 3 } { z }\).
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