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JEE Main 2024 Mathematics question

MathematicsQuadratic Equations and InequalitiesJEE Main 2024

The coefficients a, b, c in the quadratic equation ax² + bx + c = 0 are chosen from the set {1, 2, 3, 4, 5, 6, 7, 8}. The probability of this equation having repeated roots is:

Answer: (C)

Solution

A repeated root needs b² = 4ac. The favourable (a, b, c) are (1, 2, 1), (1, 4, 4), (2, 4, 2), (4, 4,

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Question ID VK-011557