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It the system of equations x+y+2z=3,  x+2y+3z=4,  x+cy+2cz=5  is inconsistent, then

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a
c=1
b
c=3
c
c∈R
d
c≠1

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detailed solution

Correct option is A

Augmented matrix =112312341c2c5~ R3→R3−R1R2→R2-R1112301110c-12c-25Given system of equations is inconsistent ⇒Rank  A≠  Rank   [AD]⇒C−1=0    ⇒C=1


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