JEE Main 2022 · 25 Jul · Shift 1 · Mathematics Q17

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MathematicsSingle correct+4 / -1Question 17 of 90

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 $x\in\mathbf R$ , is :

\dfrac{17}{36}

\dfrac49

\dfrac12

\dfrac{19}{36}

Answer and worked solution

Official answer: A

Need $\alpha^2<4\beta$ : counting pairs gives 17 of 36.

(A)

Topics:Classical probability Nature of roots

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JEE Main 2022 · 25 Jul · Shift 1, Mathematics question 17