A2 June 2023 Paper 1 Q2

AQACurrent spec1 markComplex Numbers

2 The diagram below shows a locus on an Argand diagram.

Argand diagram on a grid with axes Re and Im through O, showing a circle with centre at 2 − 3i, touching the imaginary axis

Which of the equations below represents the locus shown above?

Circle your answer. [1 mark]

  • \(|z - 2 + 3\mathrm{i}| = 2\)
  • \(|z + 2 - 3\mathrm{i}| = 2\)
  • \(|z - 2 + 3\mathrm{i}| = 4\)
  • \(|z + 2 - 3\mathrm{i}| = 4\)