
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 O is the coordinate origin, points F₁, F₂ are respectively the left and right foci of the ellipse $$C： \frac {x^{2}}{4}+ \frac {y^{2}}{3}=1$$, A is a point on the ellipse C, and AF₂ is perpendicular to F₁F₂, AF₁ intersects the y-axis at point B, calculate the value of |OB|.

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