
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 line \\(l\\) passing through point \\(A(0,2)\\) intersects with the ellipse \\(C\\): \\( \dfrac {x^{2}}{3}+y^{2}=1\\) at points \\(P\\) and \\(Q\\).  
\\((\\)I\\()\\) If the slope of line \\(l\\) is \\(k\\), find the range of \\(k\\);  
\\((\\)II\\()\\) If the circle with diameter \\(PQ\\) passes through point \\(E(1,0)\\), find the equation of line \\(l\\).

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