A-level · Complex numbers

Loci in the Argand diagramExam-style questions

Reading a condition on z as a set of points in the Argand diagram: |z − a| = r is a circle centre a radius r, |z − a| = |z − b| is the perpendicular bisector of a and b, and arg(z − a) = θ is a half-line from a. Describing and sketching these loci, turning them into Cartesian equations, and shading the regions given by the matching inequalities.

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16 questions · A Level level · mark scheme and worked solution on each · no sign-up to try

DifficultyAllLevel 1Level 2Level 3Level 4Level 5
  1. 1
    Describe fully the locus of points in the Argand diagram given by ∣z−(2+i)∣=3|z - (2 + i)| = 3. (2 marks)
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