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If `z_(1) ` and `z_(2)` are two complex numbers such that `|z_(1)| lt 1 lt |z_(2)|`, then prove that `|(1- z_(1)barz_(2))//(z_(1)-z_(2))| lt 1`

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To prove that \( \left| \frac{1 - z_1 \overline{z_2}}{z_1 - z_2} \right| < 1 \) given that \( |z_1| < 1 < |z_2| \), we can follow these steps: ### Step 1: Understand the given conditions We are given two complex numbers \( z_1 \) and \( z_2 \) such that: - \( |z_1| < 1 \) - \( |z_2| > 1 \) ...
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