Let \( \alpha \) and \( \beta \) be real and \( z \) be a complex n... VIDEO
Let \( \alpha \) and \( \beta \) be real and \( z \) be a complex number. If \( z^{2}+\alpha z+\beta=0 \) has two distinct roots on the line
P \( \operatorname{Re}(z)=1 \), then it is necessary that
[AIEEE 2011, 4M]
W
(a) \( \beta \in(-1,0) \)
(b) \( |\beta|=1 \)
(c) \( \beta \in(1, \infty) \)
(d) \( \beta \in(0,1) \)
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