Q5 and Q6 are combined questions

5. What is the image of the circle with center 2i and radius 1 under the inversion f (x) = 1/2? Hint: consider two points on a certain diameter of the circle. 6. Inversions map circles which do not pass through the center of the inversion to other circles. Do they map the center of the original circle to the center of the transformed circle? Verify this property for the circle and inversion in exercise 5