Direct modulus and argument

Questions that ask only to find |z| and/or arg(z) for a given complex number in Cartesian form, without requiring further complex number operations beyond possibly finding the conjugate.

1 questions · Moderate -0.3

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OCR FP1 2013 January Q3
7 marks Moderate -0.3
The complex number \(2 - i\) is denoted by \(z\).
  1. Find \(|z|\) and \(\arg z\). [2]
  2. Given that \(az + bz^* = 4 - 8i\), find the values of the real constants \(a\) and \(b\). [5]