Loci and regions in the complex plane: circles, rays, perpendicular bisectors and |z - a| = k|z - b|

What this note covers

1. Two ideas behind every locus
2. Circles, discs and perpendicular bisectors
3. Rays and argument regions
4. Converting other conditions to Cartesian form
5. Regions and extreme values of |z| and Arg z
6. Sketching conventions and exam technique

6 sections · 10 key terms & formulas · 6 common mistakes