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JEE Main 2025 Mathematics question

MathematicsMatricesJEE Main 2025

If the system of linear equations 3x + y + βz = 3 2x + αy – z = –3 x + 2y + z = 4 has infinitely many solutions, then the value of 22β – 9α is:

Answer: (4)

Solution

Setting Δ=0 and Δ2=0 gives β=6/11, α=–19/9. Then 22β–9α = 12+19 = 31.

Question ID VK-002501