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Describe the locus of points representing z if (z-2)/(z+2) is purely imaginary.

the answer is |z| = 2.
i can form the locus equation x^2 + y^2 = 4 from the given info. i just don't know how to get from there to the answer. is much appreciated!

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Describe the locus of points representing z if (z-2)/(z+2) is purely imaginary.

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