The expression $z + \exp(j\varphi)$ is a circle of unit radius on the complex plane, displaced by the complex vector $z$. The reciprocal of this expression $1/(\exp(j\varphi)+z)$ , I know, is also a circle (although there are limiting cases of straight lines) but I am having difficulty proving this.
2026-03-26 09:37:05.1774517825
Reciprocal circles on complex plane
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