OCR FP1 2013 January — Question 3

Exam BoardOCR
ModuleFP1 (Further Pure Mathematics 1)
Year2013
SessionJanuary
TopicComplex Numbers Arithmetic
TypeModulus and argument with equations
3 The complex number \(2 - \mathrm { i }\) is denoted by \(z\).
  1. Find \(| z |\) and \(\arg z\).
  2. Given that \(a z + b z ^ { * } = 4 - 8 \mathrm { i }\), find the values of the real constants \(a\) and \(b\).
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