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The system of equations x+y+z=6,x+2y+3z=10,x+2y+λz=μ  is inconsistent if 

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a
λ=3,μ=10
b
λ≠3,μ=10
c
λ=3,μ≠10
d
λ≠3, μ≠10

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detailed solution

Correct option is C

Augmented matrix,K=11161231012λμR2−R1R3−R1~1116012401λ−1μ−6R3−R2~1116012400λ−3μ−10Suppose given equations are inconsistent. Then λ−3=0,μ−10≠0⇒λ=3,μ≠10


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