# Further Maths - Regions in the Argand Diagram

> Source: https://ollybritton.com/notes/a-level/further-maths/topics/regions-argand-diagram/ · Updated: 2020-11-19 · Tags: school, further-maths, a-level

See also [Further Maths - Loci in the Argand Diagram](https://ollybritton.com/notes/a-level/further-maths/topics/loci-argand-diagram/).

##### ![PHOTO](argand-diagram-regions-circle.jpg) This diagram shows the loci of points for $|z - (3 + 3i)| = 2$. Visualise the region $|z - (3 + 3i)| \le 2$??
![PHOTO](argand-diagram-regions-circle-filled.jpg)

#### ![PHOTO](argand-diagram-regions-donut.jpg) This diagram shows the (poorly drawn) loci of points for $|z| = 3$ and $|z| = 5$. Visualise the region $3 \le |z| \le 5$??
![PHOTO](argand-diagram-regions-donut-filled.jpg)

##### ![PHOTO](argand-diagram-regions-perp-bisec.jpg) This diagram shows the loci of points for $|z + 6| = |z - 4|$. Visualise the region $|z + 6| > |z - 4|$??
![PHOTO](argand-diagram-regions-perp-bisec-filled.jpg)

---
Olly Britton — https://ollybritton.com. Machine-readable index: https://ollybritton.com/llms.txt