A calculus of the absurd

14.2.2 Loci on the Argand diagram

These are the kind of questions which certain examiners love to pose. There are two ways to go about this; geometrically or algebraically. Ordinarily I would always pick the option with lots of algebra over the option with lots of geometry. Unfortunately, in this case the option with lots of algebra also includes pretty much the same amount of geometry.

TODO: complete