Questions
Let be a real number for which the system of linear equations and has infinitely many solutions . Then is a root of the quadratic equation
detailed solution
Correct option is C
Given, system of linear equations x+y+z=64x+λy−λz=λ−2 And 3x+2y−4z=−5 Has infinitely manv solutions then Δ=0⇒1114λ−λ32−4=0⇒1(−4λ+2λ)−1(−16+3λ)+1(8−3λ)=0⇒−8λ+24=0⇒λ=3 From the options λ=3. satisfy the quadratic equation λ2−λ−6=0Similar Questions
The number of solutions of
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