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