Let α and β be real numbers and 𝑧 be a complex number.If z^{2}+\alphaz+\beta=0 has two distinct non-real roots with real roots Re(z)=1, then it is necessary that [NDA I 2018]

Correct Answer is : β∊(1,∞)

UPSC NDA I 2018 Mathematics Solved Paper

Question : 5 of 120

Marks: +1, -0

Let α and β be real numbers and 𝑧 be a complex number.If z2+αz+β=0 has two distinct non-real roots with real roots Re(z)=1, then it is necessary that

[NDA I 2018]

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