Proving that a complex number is real – math.stackexchange.com

If $$\left|\frac{Z_1 - iZ_2}{Z_1 + iZ_2}\right| = 1$$ then prove that $Z_1/Z_2$ is real . This is how I proceeded. Dividing throughout by $Z_2$ we will have $$\left|{\frac{\frac{Z_1}{Z_2} - ...

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