Consider the following 1. \alpha+\beta+\alpha\beta>0 2. \alpha^2\beta+\beta^2\alpha>0 Which of the above is/are correct? [NDA I 2016]

NDA Math Quadratic Equations and Inequations

For the next two (2) items that follow :
Let α and β (α<β) be the roots of the equation x2+bx+c=0, where b>0 and c<0.

[NDA I 2016]

Question : 57 of 67

Marks: +1, -0

Consider the following
1. α+β+αβ>0
2. α2β+β2α>0
Which of the above is/are correct?

[NDA I 2016]

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