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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 : (1) `b"" in (0,""1)` (2) `b"" in (-1,""0)` (3) `|b|""=""1` (4) `b"" in (1,oo)`

A

`beta in ]0,1[`

B

`beta in ]-1,0[`

C

`|beta|=1`

D

`beta in ]1,oo[`

Text Solution

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The correct Answer is:
D
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