
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 a hyperbola with one of its foci as F and one endpoint of its imaginary axis as B. If the line FB is perpendicular to one of the asymptotes of the hyperbola, calculate the eccentricity of this hyperbola.

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