JEE Main 2018 (15 April Morning Shift)

Question

The set of all $\alpha \in \mathbb{R}$ for which $w = \dfrac{1 + (1-8\alpha)z}{1-z}$ is purely imaginary number, for all $z \in \mathbb{C}$ satisfying $|z| = 1$ and $\operatorname{Re} z 
e 1$, is :

Accepted Answer

Correct option

Answer

an empty set

Answer

$\{0, \frac{1}{4}, -\frac{1}{4}\}$

Answer

equal to R

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