Application of isometries 2
Find two points C and D such that C is on the circle c, D is on the circle d and the point E is the midpoint of the line segment CD.
1. How many solutions does the problem have?
2. If the problem is given as above, one can find a situation in which the problem has infinitely many solutions. Describe the situation and suggest how to change the text so that such situation is excluded. What is the maximum number of solutions after your change?