Number of complex numbers z such that |z| = 1 and | z z + z z |=1 is

Mathematics · JEE Advanced · NTA ExamsComplex Numbers and Quadratic Equations

Number of complex numbers z such that |z| = 1 and \(\left|\frac{z}{\bar{z}}+\frac{\bar{z}}{z}\right|=1\) is
  1. 4
  2. 6
  3. 8
  4. 12

Answer

(C) 8

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