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

Mathematics · JEE Advanced · NTA ExamsComplex Numbers and Quadratic Equations

If z = x + iy and \(\mathrm{w}=\frac{1-\mathrm{iz}}{\mathrm{z}-\mathrm{i}},\) then |w| = 1
implies that in the complex plane
  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

(B) z lies on the real axis

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