
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
A circle C passes through the origin O and intersects the x-axis at point A(4,0) and the y-axis at point B(0,2).  
(1) Find the standard equation of circle C;  
(2) A line l passes through point B and is tangent to circle C. Find the equation of line l in general form.

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