
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 two circles, ⊙O: $x^2+y^2=4$ and ⊙C: $x^2+y^2-12x+27=0$.  
(1) Determine the positional relationship between ⊙O and ⊙C;  
(2) Draw a tangent line $l$ from the center C of ⊙C to ⊙O, and find the equation of the tangent line $l$.

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