Let alpha, beta be real and z be a compl...

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

A

`beta in (1, oo)`

B

`beta in (0,1)`

C

`beta in (-1, 0)`

D

`|beta|=1`

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The correct Answer is:

A

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