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JEE Main 2026 Mathematics question

MathematicsQuadratic Equations and InequalitiesJEE Main 2026

Let a, b, c ∈ {1, 2, 3, 4}. If the probability, that ax² + 2√2 bx + c > 0 for all x ∈ ℝ, is , gcd(m, n) = 1, then m + n is equal to .

Answer: 81

Solution

The condition is 8b² < 4ac, i.e. 2b² < ac. Counting over 4³ = 64

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Question ID VK-015207