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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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