The set of all values of k for which lines kx + 2y + 2 = 0, 2x + ky + 3 = 0, 3x + 3y + k = 0 are concurrent is

{2, 3, 5}

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{2, 3, - 5}

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{3, - 5}

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{- 5}

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Solution

The correct option is C
{3, - 5}

Three non parallel lines are concurrent if $Δ = 0$
$∣ ∣ ∣ ∣ \begin{matrix} k & 2 & 2 2 & k & 3 3 & 3 & k \end{matrix} ∣ ∣ ∣ ∣ = 0 \Rightarrow k = 2, 3, - 5$ But for k = 2, first two lines are parallel\\

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