jee-main 2012 Q61

jee-main · India · 19may Discriminant and conditions for roots Proving no real roots exist for a given expression

Let $p , q , r \in R$ and $r > p > 0$. If the quadratic equation $p x ^ { 2 } + q x + r = 0$ has two complex roots $\alpha$ and $\beta$, then $| \alpha | + | \beta |$ is
(1) equal to 1
(2) less than 2 but not equal to 1
(3) greater than 2
(4) equal to 2

Let $p , q , r \in R$ and $r > p > 0$. If the quadratic equation $p x ^ { 2 } + q x + r = 0$ has two complex roots $\alpha$ and $\beta$, then $| \alpha | + | \beta |$ is\\
(1) equal to 1\\
(2) less than 2 but not equal to 1\\
(3) greater than 2\\
(4) equal to 2

Paper Questions

Q1 Q2 Q3 Q4 Q5 Q6 Q11 Q13 Q14 Q15 Q30 Q61 Q62 Q63 Q64 Q65 Q66 Q67 Q68 Q69 Q70