Discussion
A mapping is described as conformal at a point when it preserves
Answer: D
An analytic function with \( f'(z) \neq 0 \) rotates every direction through the point by \( \arg f'(z) \) and scales it by \( |f'(z)| \), so angles between curves survive unchanged. Lengths and areas are scaled rather than preserved, and directions are all rotated together, which is precisely why the angle between them is kept
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