If p,q are two distinct real values of \lambda for which the system of equations (\lambda-1)x+(3\lambda+1)+2\lambdaz=0 (\lambda-1)x+(4\lambda-2)y+(\lambda+3)2=0 2x+(3\lambda+1)y+3(\lambda-1)z=0 has non-zero solution, then p^2+q^2-pq=

TS EAMCET 10-Sep-2020 Shift 1 Solved Paper

Section: Mathematics

Question : 6 of 160

Marks: +1, -0

If p,q are two distinct real values of λ for which the system of equations
(λ−1)x+(3λ+1)+2λz=0
(λ−1)x+(4λ−2)y+(λ+3)2=0
2x+(3λ+1)y+3(λ−1)z=0
has non-zero solution, then p2+q2−pq=

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λ−1	3λ+1	2λ
0	λ−3	−λ+3
−λ+3	0	λ−3