1.

The values of `k` for which the system of equations `kx+y+z=0,x-ky+z=0` and `x+y+z=0` possesses non-trivial solution. AreA. `1,2`B. `-1,1`C. `1,-2`D. `-1,-2`

Answer» Correct Answer - B
`Delta=0`
`implies|{:(k,1,1),(1,-k,1),(1,1,1):}|=0`
`impliesk(-k-1)-1(1-1)+1(1+k)=0`
`implies-k^(2)-k+1+k=0`
`k=+-1`


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