Theory of Intelligence
11TH•Mathematics•Complex Numbers•Question 17

Solution

If $z_1$ and $z_2$ are different complex numbers with $|z_2|=1$, find $\left|\dfrac{z_2-z_1}{1-z_1z_2}\right|$.

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Solution

Given ∣z2∣=1|z_2|=1.

We need to find:

∣z2−z11−z1z2∣\left|\frac{z_2-z_1}{1-z_1z_2}\right|

Consider squares of moduli.

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