The sum of distinct values of \lambda for which the system of equations (\\lambda-1) x+(3 \\lambda+1) y+2 \\lambdaz=0 (\\lambda-1) x+(4 \\lambda-2) y+(\\lambda+3) z=0 2 x+(3 \\lambda+1) y+3(\\lambda-1) z=0 has non-zero solutions, is ___________. [6 Sep 2020 Shift 2]

JEE Mains 06-Sep-2020 Shift 2 Solved Paper

Section: Mathematics

Question : 71 of 75

Marks: +1, -0

The sum of distinct values of lambda for which the system of equations
(λ−1)x+(3λ+1)y+2λz=0
(λ−1)x+(4λ−2)y+(λ+3)z=0
2x+(3λ+1)y+3(λ−1)z=0
has non-zero solutions, is ___________.

[6 Sep 2020 Shift 2]

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0	3−λ	λ−3
λ−3	λ−3	−2(λ−3)
2	3λ+1	3λ−3

λ−1	3λ+1	2λ
λ−1	4λ−2	λ+3
2	3λ+1	3λ−3

0	−1	1
1	1	−2
2	3λ+1	3λ−3