Let \alpha, \beta be real and {\z} be a complex number. If z^2+\alpha z+\beta=0 has two distinct roots on the line {\Re} z=1, then it is necessary that : [AIEEE 2011]

Correct Answer is : β∈(1,∞)

Complex Numbers Part 1

Section: Mathematics

Question : 81 of 100

Marks: +1, -0

Let α,β be real and z be a complex number. If z2+αz+β=0 has two distinct roots on the line Re‌z=1, then it is necessary that :

[AIEEE 2011]

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