
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 two parallel lines, which are not tangents, intersect an ellipse given by the equation $\frac{x^2}{4} + y^2 = 1$, what are the possible numbers of points of intersection between the lines and the ellipse?
A) 0 or 2
B) 2 or 4
C) 0, 2, or 4
D) Only 4

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