
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 chord AB is drawn through point P(1, -2) on the ellipse 3x² + 4y² = 24 such that point P bisects the chord AB. Determine the equation of the line containing chord AB.

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