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Complex numbers

The form of the answer matters: if the question asks for Cartesian form, modulus–argument form is not the answer. Multiplying by i rotates and does not change the modulus. The conjugate of z is not 1/z.

In loci and regions: plot the points after factorising, draw the boundary dashed when the inequality is strict, label what you used, and shade the right side — checking with a point.

Try it: A complex block