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Let alpha and beta be real and z be a co...

Let `alpha` and `beta` be real and z be a complex number. If `z^(2)+az+beta=0` has two distinct roots on the line Re(z)=1, then it is necessary that

A

`beta in (0,1)`

B

`beta in (-1,0)`

C

`|beta|=1`

D

`beta in (1,oo)` .

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