
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 a chosen problem involving a coordinate system and parametric equations, it is given that the polar equation of an ellipse C is $$\rho^2= \frac {12}{3\cos^2\theta+4\sin^2\theta}$$, where points $F_1$ and $F_2$ are its left and right foci, respectively. The parametric equation of line $l$ is $$\begin{cases} x=2+ \frac { \sqrt {2}}{2}t \\ y= \frac { \sqrt {2}}{2}t\end{cases}$$ (with $t$ as the parameter, $t\in \mathbb{R}$).
(I) Find the standard form of the equations for line $l$ and curve $C$;
(II) Find the sum of the distances from points $F_1$ and $F_2$ to line $l$.

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