Question 7 - A-Level Maths

Exam Board	SPS
Module	SPS FM Pure (SPS FM Pure)
Year	2023
Session	September
Topic	Complex Numbers Arithmetic
Type	Multi-part questions with division as one step

7. The complex number \(2 - \mathrm { i }\) is denoted by \(z\).

Find \(| z |\) and arg \(z\).
Given that \(a z + b z ^ { * } = 4 - 8 \mathrm { i }\), find the values of the real constants \(a\) and \(b\).
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