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

Question

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

Examsnet · Accepted Answer

Correct Answer is : β∈(1,∞)

AIEEE 2011 Solved Paper