I'd like to determine the image of the line through $a$, $b$ (distinct complex number) using the mapping $z\mapsto \frac{z-a}{z-b} $.
What I did so far:
$a\mapsto 0$, and: $b\mapsto \infty$
Can I conclude something now?
I'd like to determine the image of the line through $a$, $b$ (distinct complex number) using the mapping $z\mapsto \frac{z-a}{z-b} $.
What I did so far:
$a\mapsto 0$, and: $b\mapsto \infty$
Can I conclude something now?
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