
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
Given in the Cartesian coordinate system xOy, with the origin as the pole and the positive x-axis as the polar axis, a conic curve C has the polar equation $$ρ^{2}= \frac {12}{3+\sin^{2}θ}$$, and a fixed point $$A(0，- \sqrt {3})$$. F<sub>1</sub> and F<sub>2</sub> are the left and right foci of the conic curve C, respectively. A line passes through point F<sub>1</sub> and is parallel to the line AF<sub>2</sub>.  
(I) Find the Cartesian equations of the conic curve C and the line;  
(II) If the line intersects the conic curve C at points M and N, find |F<sub>1</sub>M|•|F<sub>1</sub>N|.

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