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The number of values of k for which the ...

The number of values of k for which the linear equations `4x""+""k y""+""2z""=""0` `k x""+""4y""+""z""=""0` `2x""+""2y""+""z""=""0` posses a non-zero solution is : (1) 3 (2) 2 (3) 1 (4) zero

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non zero solution `->` all lines are in sample
froming matrix as
`|(4,k,2),(k,4,1),(2,2,1)| = 0`
`4(4-2)- k(k-2) + 2(2k-8) = 0`
`8 - k^2 + 2k + 4k - 16= 0`
`k^2 - 6k + 8= 0`
`(k-4)(k-2) = 0`
option 2 is correct
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