
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
In the Cartesian coordinate system $xOy$, given point $P(0, \sqrt {3})$, curve $C: \begin{cases} x= \sqrt {2}\cos\alpha \\ y=2\sin\alpha\end{cases}(\alpha\text{ is a parameter})$, and line $l$ with polar coordinate equation $\rho\cos(\theta- \frac {\pi}{6})= \frac { \sqrt {3}}{2}$.

(I) Determine the relationship between point $P$ and line $l$ and explain the reason.
(II) Let $A$ and $B$ be the two intersection points of line $l$ and curve $C$. Find the value of $\frac {1}{|PA|}+ \frac {1}{|PB|}$.

Present the answer in LaTex format: \boxed{Your answer}
user