Home · Unit 2 · Topic 2 · Subsets of the complex plane (the Argand plane)

Subsets of the complex plane (the Argand plane)

Identify and sketch subsets of the complex plane determined by straight lines and circles, e.g. |z − 3i| < 4, π/4 ≤ Arg(z) ≤ 3π/4, Re(z) > Im(z) and |z − 1| = 2|z − i|.

u2-t2-s2-d1

Interactive

Complex loci on the Argand plane

manipulative

Presets for circles, lines and perpendicular bisectors — drag z and centres, shade inequality regions, and test whether z satisfies the locus equation.

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