Equation of Circle in Complex Plane/Examples/z (conj z + 2) = 3

Example of Use of Equation of Circle in Complex Plane
The equation:
 * $z \paren {\overline z + 2} = 3$

describes a circle embedded in the complex plane whose center is at $-1 - i$ and whose radius is $\sqrt 3$.

Proof
The result follows from Equation of Circle in Cartesian Plane:


 * Equation of Circle in Complex Plane-Example-z (conj z + 2) = 3.png