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MathsMediumMCQ2020 · 08 Jan Shift 1

Q61.For which of the following ordered pairs (μ, δ), the system of linear equations x + 2y + 3z = 1 3x + 4y + 5z = μ 4x + 4y + 4z = δ is inconsistent? (1) (4, 3) (2) (4, 6) (3) (1, 0) (4) (3, 4)

What This Question Tests

This question requires applying the conditions for inconsistency of a system of linear equations, typically by using determinants (Cramer's rule condition) or by checking the rank of the coefficient and augmented matrices.

Concepts Tested

System of linear equationsConsistency and inconsistencyDeterminantsRank of matrix

Formulas Used

Determinant of coefficient matrix (D)

Determinants Dx, Dy, Dz

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