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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 (1,oo)`

B

`beta in(0,1)`

C

`beta(-1,0)`

D

`|beta| =1`

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The correct Answer is:
A
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