
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
Find the curve that passes through the point \((2, 3)\) and has the property that the segment of any of its tangents, intercepted between the coordinate axes, is bisected at the point of tangency.

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