
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 line through the point $(a,0)$ cuts from the second quadrant a triangular region with area $T$. The equation of the line could be:
A) $2Tx + a^2y + 2aT = 0$
B) $2Tx - a^2y - 2aT = 0$
C) $-2Tx + a^2y + 2aT = 0$
D) $-2Tx - a^2y + 2aT = 0$
E) none of these

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