
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}}{4}+ \frac {y^{2}}{3}=1\\), and the line \\(l\\): \\( \begin{cases} x=-3+ \sqrt {3}t \\ y=2 \sqrt {3}+t \end{cases} \\) (where \\(t\\) is a parameter).
\\((1)\\) Write the parametric equation of the ellipse \\(C\\) and the general equation of the line \\(l\\);
\\((2)\\) Let \\(A(1,0)\\). If the distance from a point \\(P\\) on the ellipse \\(C\\) to point \\(A\\) is \\(\frac {3}{2}\\), find the coordinates of point \\(P\\).

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