Let `alpha,beta`be real and z be a complex number. If `z^2+alphaz""+be – InterviewSolution

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1.	Let `alpha,beta`be real and z be a complex number. If `z^2+alphaz""+beta=""0`has two distinct roots on theline 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)`
Answer» `z^2 + alpha z + beta = 0` `z_1 + z_2 = - alpha` `z_1 z_2 = beta` `x= 1` `z_1 = 1 + i y` `z_2 = 1 - i y` now, `1^2 + y^2= beta` `beta in (1,oo)` option 4 is correct

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