JEE Math Practice Question
The set of all $$\alpha $$ $$ \in $$ R, for which w = $${{1 + \left( {1 - 8\alpha } \right)z} \over {1 - z}}$$ is purely imaginary number, for all z $$ \in $$ C satisfying |z| = 1 and Re z $$ \ne $$ 1, is :
- A.an empty set
- B.{0}
- C.$$\left\{ {0,{1 \over 4}, - {1 \over 4}} \right\}$$
- D.equal to R
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