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Question

Let λ be a real number for which the system of linear equations
x+y+z=6
4x+λyλz=λ2
3x+2y4z=5
has infinitely many solutions. Then λ is a root of the quadratic equation :

A
λ2+3λ4=0
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B
λ23λ4=0
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C
λ2+λ6=0
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D
λ2λ6=0
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