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Complex Numbers question

2018 · 15 Apr · Shift 1 · Q30
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  5. /2018 · 15 Apr · Shift 1 · Q30

Complex Numbers question

2018 · 15 Apr · Shift 1 · Q30

JEE MainMathematicsComplex NumbersMCQ+4 / −1
The set of all α∈\alpha \inα∈ R, for which w =1+(1−8α)z1−z{{1 + \left( {1 - 8\alpha } \right)z} \over {1 - z}}1−z1+(1−8α)z​ is purely imaginary number, for all z ∈\in∈ C satisfying |z| = 1 and Re z eee 1, is :
  1. A
    an empty set
  2. B
    {0}
  3. C
    {0,14,−14}\left\{ {0,{1 \over 4}, - {1 \over 4}} \right\}{0,41​,−41​}
  4. D
    equal to R
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