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The system of linear equations 3x-2y-kz=10, 2x-4y-2z=6, x+2y-z=5m is inconsistent if

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a

k≠3,m∈R

b

k=3,m≠45

c

k≠3,m≠45

d

k=3,m=45

answer is B.

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Detailed Solution

Δ=3-2−k1−2-112−1=0⇒k=3Δx=10-2-33−2-15m2−1=0, Δy=310−313-115m−1=44−5m, Δz=3-2101−23125m=44−5mHence, k=3 and m≠45

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