A point moves so that its distance from the point \( \mathrm{P}^{13...

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A point moves so that its distance from the point
\( \mathrm{P}^{13:} \) \( (2,0) \) is always \( 1 / 3 \) of its distance from the line

W \( x-18=0 \). If the locus of the point is a conic, then length of its latus rectum is:
(1) \( 16 / 3 \)
(2) \( 32 / 3 \)
(3) \( 8 / 3 \)
(4) \( 15 / 4 \)
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