
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 rectangular coordinate system $xOy$, the parametric equations of line $l$ are $$\begin{cases} x=2 \sqrt {3}+at \\ y=4+ \sqrt {3}t\end{cases}$$ (where $t$ is the parameter), and in the polar coordinate system with the coordinate origin $O$ as the pole and the positive semi-axis of $x$ as the polar axis, the polar coordinates of point $A$ are $(2, \frac {π}{6})$. Line $l$ passes through point $A$, and curve $C$ has the polar equation $ρ\sin^2θ=4\cosθ$.

1. Find the general equation of line $l$ and the rectangular equation of curve $C$.
2. Draw a perpendicular line to line $l$ through point $P( \sqrt {3},0)$, intersecting curve $C$ at points $D$ and $E$ (with $D$ above the $x$-axis). Find the value of $\frac {1}{|PD|}- \frac {1}{|PE|}$.

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