Geometry of complex numbers in specific set > Given the complex number $\alpha=3-4i$ and the complex set > > $$S=\\{z\in\mathbb{C} | |z|=5\\}$$ > > Show that $\alpha\in S$. Illustrate it. * * * I know the length of $\alpha$ is 5, but I'm not sure how to illustrate this graphically. Is it supposed to be a circle with a radius of 5?

This is a solution to the "Illustrate it" part of your problem:

![Expertly drawn in Paint](

Were I correcting this submission as a teacher, I would point out that the names $\alpha$ and $S$ are missing, and probably something about handwriting in Paint not being a good idea.