Question 2 - A-Level Maths

Exam Board	OCR MEI
Module	FP1 (Further Pure Mathematics 1)
Year	2006
Session	January
Topic	Complex Numbers Arithmetic
Type	Complex conjugate properties and proofs

Given that \(z = a + b \mathrm { j }\), express \(| z |\) and \(z ^ { * }\) in terms of \(a\) and \(b\).
Prove that \(z z ^ { * } - | z | ^ { 2 } = 0\).