Sketch the subset of the complex plane: {z E C: |z - 1| = |z - i| } I have no idea what to do. Could someone please explain?
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Originally Posted by SyNtHeSiS Sketch the subset of the complex plane: {z E C: |z - 1| = |z - i| } I have no idea what to do. Could someone please explain? The modulus of a complex number is it's distance from the origin in the complex plane. Pythagoras' theorem calculates the distance.
Hello, SyNtHeSiS! Did you make a sketch? Sketch the subset of the complex plane: . Hint: On the Argand diagram: . . is the distance from to . . is the distance from to
Thanks. Would this sketch be the graph y = x?
Yes, it is.
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