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Let C be the circle with center -3i and radius 2. The Mobius Transformation R given by the equation \(R(z)=\dfrac{b}{z+d}\) maps C to the Unit Circle in such a way that the inside of C maps to the outside of the unit circle. Find \(|R(1-2i)|\).

 Jan 21, 2021
 #1
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R(1 - 2i) = 1 + 2i, so |R(1 - 2i)| = sqrt(5).

 Jan 22, 2021
 #2
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sqrt2

 Jan 23, 2021

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