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Loci in the Argand diagramAQA A-Level Further Maths: Mind map

What this mind map covers

  • Circles
  • Regions
  • Bisector
  • Half-lines
  • Combining

Exam questions on Loci in the Argand diagram

  1. The complex number zz satisfies ∣z−3+4i∣=5|z-3+4\mathrm{i}|=5.
    Find the Cartesian equation of the locus of zz.2 marks
  2. The complex number zz satisfies arg⁡(z+2−i)=π4\arg(z+2-\mathrm{i})=\frac{\pi}{4}.
    Find the Cartesian equation of the locus of zz, stating any restriction on xx.2 marks
  3. The complex number zz satisfies ∣z−2∣=∣z−2i∣|z-2|=|z-2\mathrm{i}|.
    Find the Cartesian equation of the locus of zz.3 marks
See the full worksheet

Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).