Why is |z| = 1 a circle of radius one? (FP2)

So, basically |z| = 1 is equal to the set containing all complex numbers where their magnitude is equal to one. Also, by unraveling the definition of |z| we get that (x2+y2)1/2=1 which is the same as x2+y2=1 which we can identify as the circle with centred at (0,0) and radius 1.

CM
Answered by Charalambos M. Maths tutor

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