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JEE Main 2026 Mathematics question

MathematicsMatricesJEE Main 2026

Let α, β ∈ ℝ be such that the system of linear equations x + 2y + z = 5, 2x + y + αz = 5, 8x + 4y + βz = 18 has no solution. Then is equal to:

Answer: (B)

Solution

The coefficient determinant is 3(4α − β), which must vanish: β = 4α. Then the third

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Question ID VK-015187