engineering recuitment GATE CE 2023-24 Test Series Quantitative Aptitude Algebra Linear Inequalities
If α and β are two real numbers such that \(\alpha + \beta = - \frac{q}{p}\) and \(\alpha \beta = \frac{r}{p},\) where 1 < p < q < r, then which one of the following is the greatest?
1
\(\frac{1}{{\alpha + \beta }}\)
2
\(\frac{1}{\alpha } + \frac{1}{\beta }\)
3
\(- \frac{1}{{\alpha \beta }}\)
4
\(\frac{{\alpha \beta }}{{\alpha + \beta }}\)