If z = x + iy and w = (1 - iz) / (z - i), then |w| = 1 implies that, in the complex plane

Mathematics · JEE Main · NTA Exams — Complex Numbers and Quadratic Equations

1. z lies on the imaginary axis
2. z lies on the real axis
3. z lies on the unit circle
4. None of the above

Answer

(C) z lies on the unit circle

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