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Let alpha and beta be real numbers and z...

Let `alpha and beta` be real numbers and z be a complex number. If `z^(2)+alphaz+beta=0` has two distinct non-real roots with Re(z)=1, then it is necessary that

A

`beta in (-1,0)`

B

`abs(beta)=1`

C

`beta in (1,infty)`

D

`beta in (0,1)`

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The correct Answer is:
C
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