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The equations $x + y + z = 6, x + 2 y + 3 z = 10, x + 2 y + λ z = μ$ have unique solution if

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λ=3, μ=10

λ=3,μ≠10

λ≠3

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detailed solution

Correct option is C

Augmented matrix is 11161231012λμR2−R1R3−R1~1116012401λ−1μ−6R3−R2~1116012400λ−3μ−10∴ Given equations have unique solution ⇒λ−3≠0⇒λ≠3

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The equations x+y+z=6, x+2y+3z=10, x+2y+λz=μ have unique solution if

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Ready to Test Your Skills?

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The equations $x + y + z = 6, x + 2 y + 3 z = 10, x + 2 y + λ z = μ$ have unique solution if