Mathematics · 2022
JEE Main · 25 July 2022, Shift 1 · Q17
If the numbers appeared on the two throws of a fair six faced die are α and β, then the probability that x^2+α x+β>0, for all x ∈ R, is:
If the numbers appeared on the two throws of a fair six faced die are $\displaystyle \alpha$ and $\displaystyle \beta$, then the probability that $\displaystyle x^2+\alpha x+\beta>0$, for all $\displaystyle x \in \mathbf{R}$, is :
Official answer
(1)
$\displaystyle \frac{17}{36}$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.