Question: Question: Letc be a circle with points wo, w1, W2, and let zo be another point (all in the complex plane). Construct a circle which

Question: Letc be a circle with points wo, w1, W2, and let zo be another point (all in the complex plane). Construct a circle which passes through Zo and which is tangent to c at Wo. Give a precise definition for your circle in terms of Wo, 20, 21, 22. Hint: The circle c through wo,w1,w2, and a point 20. The question asks to describe a circle through zo which is tangent to c. We need to find a Mobius Transformation that maps c to some line (it could be the more useful line). Write down a formula for T (It could be a formula for a circle that passes through T(z) and its tangent to T(c)). Please little explain your work to understand. Thank you. Question: Letc be a circle with points wo, w1, W2, and let zo be another point (all in the complex plane). Construct a circle which passes through Zo and which is tangent to c at Wo. Give a precise definition for your circle in terms of Wo, 20, 21, 22. Hint: The circle c through wo,w1,w2, and a point 20. The question asks to describe a circle through zo which is tangent to c. We need to find a Mobius Transformation that maps c to some line (it could be the more useful line). Write down a formula for T (It could be a formula for a circle that passes through T(z) and its tangent to T(c)). Please little explain your work to understand. Thank you
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