
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 $y=mx+2$ intersects the ellipse $x^2 + 9y^2 = 1$ exactly once, determine the value of $m^2$.
A) $\frac{34}{9}$
B) $\frac{35}{9}$
C) $\frac{36}{9}$
D) $\frac{33}{9}$

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