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Q.

The value of λ such that x+3y+λz=0, 2x+4y-z=0, x+5y-2z=0 has a nontrivial solution is

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a

–1

b

0

c

1

d

2

answer is A.

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Detailed Solution

12λ24-115-2=0 -8+5-3(-4+1)+λ(10-4)=0 -3+9+6λ=0 6λ=-6 λ=-1

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