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where does z lie , if |(z-5i)/(z+5i)|=1?...

where does z lie , if `|(z-5i)/(z+5i)|=1?`

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To solve the problem where \( \left| \frac{z - 5i}{z + 5i} \right| = 1 \), we will follow these steps: ### Step 1: Define the complex number Let \( z = x + yi \), where \( x \) is the real part and \( y \) is the imaginary part of the complex number \( z \). ### Step 2: Substitute \( z \) into the equation Substituting \( z \) into the equation gives: \[ ...
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