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Complex Numbers question

2013 · Shift 0 · Q44
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  5. /2013 · Shift 0 · Q44

Complex Numbers question

2013 · Shift 0 · Q44

JEE MainMathematicsComplex NumbersMCQ+4 / −1
If z is a complex number of unit modulus and argument θ\thetaθ, then arg (1+z1+z‾)\left( {{{1 + z} \over {1 + \overline z }}} \right)(1+z1+z​) equals :
  1. A
    −θ  - \theta \,\,−θ
  2. B
    π2−θ {\pi \over 2} - \theta \,2π​−θ
  3. C
    θ \theta \,θ
  4. D
     π−θ  \,\pi - \theta \,\,π−θ
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