
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
If the line \( l: y = \sqrt{3}x \) intersects with the circle \( C: x^2 - 4x + y^2 = 0 \) at points A and B, then the length of the chord \( |AB| \) is:

A) \( \frac{\sqrt{2}}{2} \)

B) \( \sqrt{2} \)

C) 2

D) \( 2\sqrt{2} \)

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