JEE Main 2026 Mathematics question

MathematicsBasic Mathematics and LogarithmJEE Main 2026

If the domain of the function is (−∞, a] ∪ {b} ∪ [c, d) ∪ (e, ∞), then the value of a + b + c + d + e is .

Answer: 4

Solution

We need 0 < |(2x − 5)/(x² − 4)| ≤ 1, i.e. (x² − 4)² ≥ (2x − 5)² with x ≠ ±2, 5/2. This gives (x − 1)²(x² + 2x − 9) ≥ 0: x

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Question ID VK-015205