Points A and C are complex numbers. Drag point A. 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 without moving C?[br]Is it possible to move A so point C is at the origin?[br]What happens to C when A moves along the Real axis?[br]What happens to C when A moves along the Imaginary axis?[br]Is it possible to move A so point C moves along the Real axis?[br]Is it possible to move A so point C moves along the Imaginary axis?