
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
Given that the two foci of ellipse C are F1(-2, 0) and F2(2, 0), and the two endpoints of the minor axis are B1 and B2.
(1) If ΔF1B1B2 is an equilateral triangle, find the equation of ellipse C.
(2) If the length of the minor axis of ellipse C is 4, and the line l passing through point F2 intersects with ellipse C at points P and Q, and $\overrightarrow {F_{1}P}$ ⊥ $\overrightarrow {F_{1}Q}$, find the equation of line l.

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