
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 the ellipse C: $$\frac {x^{2}}{a^{2}}+ \frac {y^{2}}{b^{2}}=1(a＞b＞0)$$, with the right focus $$F( \sqrt {3}，0)$$, and eccentricity $$e= \frac { \sqrt {3}}{2}$$.
(1) Find the equation of ellipse C.
(2) A line l passing through F and having an inclination angle of 45° intersects the ellipse at two distinct points M and N. Find the area of △OMN (O is the origin).

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