Let \lambda be a real number of which the system of linear equations x+y+z=6 , 4 x+ \lambda y-\\lambda z=\lambda-23 x+2 y-4 z=-5 has infinitely many solutions .Then \lambda is a root of the quadratic equation: [10 Apr 2019 Shift 2]

Correct Answer is : λ2−3λ−6=0

Matrices and Determinants Part 1

Section: Mathematics

Question : 19 of 100

Marks: +1, -0

Let λ be a real number of which the system of linear equations x+y+z=6 , 4x+ λy−λz=λ−23x+2y−4z=−5 has infinitely many solutions .Then λ is a root of the quadratic equation:

[10 Apr 2019 Shift 2]

λ2+λ−6=0
λ2+3λ−4=0
λ2−3λ−4=0
λ2−3λ−6=0

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