If line \( y=x+2 \) do not intersect any member of \( \mathrm{P} \)...

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If line \( y=x+2 \) do not intersect any member of
\( \mathrm{P} \) family of parabola \( y^{2}=a x,\left(\mathrm{a} \in R^{+}\right) \)at two distinct

W points, then maximum value of latus rectum is:
(1) 4
(2) 8
(3) 16
(4) 32
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