If roots of the equation \( z^{2}+\alpha z+\beta=0(\alpha, \beta \i...
If roots of the equation \( z^{2}+\alpha z+\beta=0(\alpha, \beta \in \mathbf{C}) \)
\( \mathrm{P} \) are purely imaginary, then value of
W \( (\operatorname{Im} \beta)^{2}-(\operatorname{Re} \alpha)(\operatorname{Re}(\alpha \bar{\beta})) \) is
(a) 0
(b) 1
(c) \( -1 \)
(d) \( i \)
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