Question:medium
Let \( w = \frac{1-iz}{z-i} \). If \( |w| = 1 \), which of the following must be true?
Let \( w = \frac{1-iz}{z-i} \). If \( |w| = 1 \), which of the following must be true?
Show Hint
Convert modulus equations into algebra using \(z=x+iy\).
Updated On: Apr 30, 2026
- \(z\) lies inside the unit circle
- \(z\) lies on real axis
- \(z\) lies on imaginary axis
- \(z\) lies outside the unit circle
- \( \text{Re } z < 0 \)
Show Solution
The Correct Option is B
Solution and Explanation
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