jee-main 2022 Q80

jee-main · India · session2_25jul_shift1 Discriminant and conditions for roots Probability involving discriminant conditions

If the numbers appeared on the two throws of a fair six faced die are $\alpha$ and $\beta$, then the probability that $x ^ { 2 } + \alpha x + \beta > 0$, for all $x \in R$, is
(1) $\frac { 17 } { 36 }$
(2) $\frac { 4 } { 9 }$
(3) $\frac { 1 } { 2 }$
(4) $\frac { 19 } { 36 }$

If the numbers appeared on the two throws of a fair six faced die are $\alpha$ and $\beta$, then the probability that $x ^ { 2 } + \alpha x + \beta > 0$, for all $x \in R$, is\\
(1) $\frac { 17 } { 36 }$\\
(2) $\frac { 4 } { 9 }$\\
(3) $\frac { 1 } { 2 }$\\
(4) $\frac { 19 } { 36 }$

Paper Questions

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