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JEE Main 2022 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 25 July 2022, Shift 1, Maths Q17

Question 17 of 90 in this shift, Maths question 17 of 30, Section A.

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 :

(1) $\frac{17}{36}$ Official answer
(2) $\frac{4}{9}$
(3) $\frac{1}{2}$
(4) $\frac{19}{36}$

Official answer

Option 1

NTA final key (2022 Session 2).

Chapter: Probability
Topic: No close match in our taxonomy
Idea tested: No close match in our taxonomy

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.