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If be a real number of which the system of linear equations has infinitly many solutions. Then is a root of the equation
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a
λ2+λ−6=0
b
λ2+3λ−4=0
c
λ2−3λ−4=0
d
λ2−λ−6=0
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Correct option is D
x+y+z=6----(1)4x+λy−λz=λ−2----(2)3x+2y−4z=−5------(3)(1)+(3) = (2) satisfy forλ =3which is a root of λ2−λ−6=0Similar Questions
The number of matrices whose entries are either and for which the system has exactly two distinct solutions, is
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