+0  
 
0
6
3
avatar+0 

1. What is the imaginary part of the center of the circle with the equation \(\frac{|z-i|}{|z-1|}=3?\)

 

2. Find the value of \(d\) if the Mobius transformation \( M(z)=\dfrac{4z+3}{z+d}\) is its own inverse.

 

3. The function \(f(z) = \frac{(-1 + i \sqrt{3}) z + (-2 \sqrt{3} - 18i)}{2}\) represents a rotation around some complex number \(c\). Find \(c\).

 

Please include explanations so i can understand them, thanks!

 Feb 19, 2024

4 Online Users

avatar
avatar
avatar
avatar