If lines \( x=y=z \) and \( x=\frac{y}{2}=\frac{z}{3} \) and third ...

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If lines \( x=y=z \) and \( x=\frac{y}{2}=\frac{z}{3} \) and third line passing through \( (1,1,1) \) form a triangle of area \( \sqrt{6} \)
\( \mathrm{P} \) units, then the point of intersection of third line with the second line will be

W
(1) \( (1,2,3) \)
(2) \( (2,4,6) \)
(3) \( \left(\frac{4}{3}, \frac{8}{3}, \frac{12}{3}\right) \)
(4) none of these
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