Question: Geometry / Mobius transformation 4. Consider the line passing through the points A=1+4+iand B=31. (a) Find a Mobius transformation which sends it to the real

Geometry / Mobius transformation

4. Consider the line passing through the points A=1+4+iand B=31. (a) Find a Mobius transformation which sends it to the real axis in the complex plane. (b) Compute the symmetric C' of the point C = 1 i across the line AB. (c) Compute the conjugate C* of C with respect to the generalized circle AB. Verify that we get C

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