OCR FP1 2013 June — Question 1

Exam BoardOCR
ModuleFP1 (Further Pure Mathematics 1)
Year2013
SessionJune
TopicComplex Numbers Arithmetic
TypeComplex number parameter problems
1 The complex number \(3 + a \mathrm { i }\), where \(a\) is real, is denoted by \(z\). Given that \(\arg z = \frac { 1 } { 6 } \pi\), find the value of \(a\) and hence find \(| z |\) and \(z ^ { * } - 3\).
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