How to prove that (z1+z2)/(z1-z2) is purely imaginary when |z1|=|z2| using geometrical means

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Show, by geometrical means, or otherwise, that if z1 and z2 are complex numbers such that |z1|=|z2|, then (z1+z2)/(z1-z2) is purely imaginary.

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How to prove 0:11:32

How to prove that (z1+z2)/(z1-z2) is purely imaginary when |z1|=|z2| using geometrical means

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5.Find the greatest 0:23:14

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Prove |z1+z2+z3|^2+|-z1+z2+z3|^2+|z1-z2+z3|^2+|z1+z2-z3|^2=4[|z1|^2+|z2|^2+|z3|^2].

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6. Prove that 0:11:05

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