Modulus and argument with equations

Questions that involve finding modulus and argument as part of solving equations or systems involving complex numbers, or that use modulus/argument properties to solve for unknowns.

1 questions

OCR FP1 2013 January Q3
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 \(b\).