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

Let `alpha,beta` be real and `z` be a complex number. If `z^(2)+alphaz+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)`

Text Solution

Verified by Experts

The correct Answer is:
D
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