
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 a moving point P on a plane, its distance to a fixed point F($$\sqrt {3}$$,0) is in a ratio of $$\frac { \sqrt {3}}{2}$$ to its distance to the line x= $$\frac {4 \sqrt {3}}{3}$$. Denote the trajectory of the moving point P as curve C.
(I) Find the equation of curve C.
(II) Suppose line l: y=kx+m intersects curve C at points M and N, and O is the origin. If k<sub>OM</sub>•k<sub>ON</sub>\= $$\frac {5}{4}$$, find the maximum area of △MON.

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