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

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a
λ=3,   μ=10
b
λ=3,   μ≠10
c
λ≠3
d
None

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detailed solution

Correct option is C

Argmented matrix is11161231012λμR2−R1,R3−R1~1116012401λ-1μ-6~R3−R21116012400λ-3μ-10Given equations have unique solutions        ⇒λ−3≠0   ⇒λ≠3


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