AQA Further Paper 2 2019 June — Question 1 1 marks

Exam BoardAQA
ModuleFurther Paper 2 (Further Paper 2)
Year2019
SessionJune
Marks1
TopicComplex Numbers Arithmetic
TypeComplex conjugate properties and proofs

1 Given that \(z\) is a complex number, and that \(z ^ { * }\) is the complex conjugate of \(z\), which of the following statements is not always true? Circle your answer.
[0pt] [1 mark] $$\left( z ^ { * } \right) ^ { * } = z \quad z z ^ { * } = | z | ^ { 2 } \quad ( - z ) ^ { * } = - \left( z ^ { * } \right) \quad z - z ^ { * } = z ^ { * } - z$$