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The value of lambda such that x+3y +lam...

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

A

-1

B

0

C

1

D

2

Text Solution

Verified by Experts

The correct Answer is:
A
Since given system of equations have non-trivial solution.
`:.Delta=0implies|(1,3,lamda),(2,4,-1),(1,5,-2)|=0`
`implies1(-8+5)-3(-4+1)+lamda(10-4)=0`
`implies6 lamda=-6implieslamda=-1`
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