JEE Main 2022 Mathematics question

MathematicsQuadratic Equations and InequalitiesJEE Main 2022

If the numbers appeared on the two throws of a fair six faced die are and , then the probability that , for all x R, is :

Answer: (1)

Solution

for all real x requires the discriminant , i.e. . Counting the favourable pairs (: values): : ; : $α

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Question ID VK-024820