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If two straight lines whose direction cosines are given by the relation $l + m - n = 0, 3 l^{2} + m^{2} + c n l = 0$ are parallel then the value of $c$ is

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$6$

$- 2$

$2$

$5$

answer is A, B.

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Detailed Solution

$l + m - n = 0, n = l + n$

$3 l^{2} + m^{2} + C l (l + m) = o$

$(3 + c) {(\frac{l}{m})}^{2} + C (\frac{l}{m}) + 1 = o$

$Δ = o$

$C^{2} - 4 (3 + c) = o$

$C = 6 or - 2$

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