JEE Main 2024 Mathematics question

MathematicsDeterminantsJEE Main 2024

If the system of equations 11x + y + λz = −5, 2x + 3y + 5z = 3, 8x − 19y − 39z = μ has infinitely many solutions, then λ⁴ − μ is equal to

Answer: (C)

Solution

Row 3 = 2 × Row 1 − 7 × Row 2 for the coefficients: 2λ − 35 = −39 gives

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Question ID VK-011553