If z is a complex number of unit modulus and argument θ, then arg ( 1+z 1+ z ) is equal to

Mathematics · JEE Advanced · NTA ExamsComplex Numbers and Quadratic Equations

If z is a complex number of unit modulus and argument θ, then arg \(\left(\frac{1+z}{1+\bar{z}}\right)\) is equal to
  1. θ
  2. \(\frac{\pi}{2}-\theta\)
  3. θ
  4. π θ

Answer

(C) θ

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