MathematicsMedium53×since 2002Q3150The set of all α\alphaα ∈\in∈ 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 ≠\ne= 1, is :Aan empty setB{0}C{0,14,−14}\left\{ {0,{1 \over 4}, - {1 \over 4}} \right\}{0,41,−41}Dequal to RCheck answerSkip