
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 equation of circle \\(C\\) is \\(x^{2}+y^{2}=4\\).

\\((1)\\) Find the equation of the line \\(l\\) that passes through point \\(P(2,1)\\) and is tangent to circle \\(C\\).

\\((2)\\) On circle \\(C\\), there is a moving point \\(M(x_{0},y_{0})\\), \\(\overrightarrow{ON}=(0,y_{0})\\). If vector \\(\overrightarrow{OQ}=\overrightarrow{OM}+\overrightarrow{ON}\\), find the equation of the trajectory of point \\(Q\\).

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