
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
It is known that circle C is tangent to the y-axis, its center is below the x-axis, and it intersects the x-axis at points A(1,0) and B(9,0).
(Ⅰ) Find the equation of circle C;
(Ⅱ) If line l passes through point A(1,0) and the chord intercepted by circle C has a length of 6, find the equation of line l.

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