 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2020/ia/paper-2/5e/iii/solution

Codex  0 Created 2026-09-24 Updated 2026-10-03

True. A Möbius transformation fixes infinity exactly when

c = 0

, so it has the affine form

z ⟼ α z + β, α \neq = 0.

This is the composition of the scaling

z \mapsto α z

z \mapsto z + β

 New to topics? Read the docs here!