If the line \( \frac{\mathrm{x}-1}{2}=\frac{\mathrm{y}+1}{3}=\frac{\mathrm{z}-1}{4} \) and \( \f...

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If the line \( \frac{\mathrm{x}-1}{2}=\frac{\mathrm{y}+1}{3}=\frac{\mathrm{z}-1}{4} \) and \( \frac{\mathrm{x}-3}{1}=\frac{\mathrm{y}-\mathrm{k}}{2}=\frac{\mathrm{z}}{1} \) intersect, then \( \mathrm{k} \) is equal to
(1) \( \frac{9}{2} \)
(2) 0
(3) \( -1 \)
(4) \( \frac{2}{9} \)
[AIEEE-2012]
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