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The sum of values of ‘k’ for which the linear equations 4x+ky+2z=0, kx+4y+z=0, 2x+2y+z=0 possess a non-zero solution is 

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a
2
b
5
c
6
d
1

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detailed solution

Correct option is C

The system of equations has a non–zero solution⇒Δ=0⇒4k2k41221=0 ⇒44-2-kk-2+22k-8=0 ⇒k2−6k+8=0⇒k=2,4∴ Sum = 4+2 = 6


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