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Let alpha , beta be real and z be c...

Let ` alpha , beta ` be real and z be 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 (0,1)`

B

`beta in (-1,0)`

C

`|beta |=1`

D

`beta in (1,oo)`

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The correct Answer is:
D
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