4.02a Complex numbers: real/imaginary parts, modulus, argument

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Pre-U Pre-U 9794/2 2016 June Q4
6 marks Moderate -0.8
The complex numbers \(z_1\) and \(z_2\) are given by \(z_1 = 2 + i\) and \(z_2 = 3 + 4i\).
  1. Verify that \(|z_1| + |z_2| > |z_1 + z_2|\). [4]
  2. Sketch on an Argand diagram the locus \(|z - z_1| = 2\). [2]