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Condition on complex constant alpha and ...

Condition on complex constant `alpha and beta` such that equation `z^(2) + alpha z + beta = 0` have one of roots on unit circle `|z|=1` is

A

`|alpha- bar(alpha)beta|= |1- |beta|""^(2)|`

B

`|alpha + bar(alpha)beta|= |1- |beta|""^(2)|`

C

`|alpha - bar(alpha) beta|= |1+ |beta|""^(2)|`

D

None of these

Text Solution

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The correct Answer is:
A
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