KZ: Was ist meine Regel? (3)

Points A, B, and C are complex numbers. Drag points A and B. Point C moves in response. What is the rule that defines points C? Try to describe it geometrically and algebraically. Is it possible to move A or B without moving C? Is it possible to move A or B so point C is at the origin? Is it possible to move A or B so point C moves along the Real axis? Is it possible to move A or B so point C moves along the Imaginary axis?

 

Karin

 
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