
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 the hyperbola $\dfrac {x^{2}}{a^{2}}- \dfrac {y^{2}}{b^{2}}=1(a > 0,b > 0)$, its left and right foci are $F_{1}$ and $F_{2}$, respectively. The circle with diameter $F_{1}F_{2}$ intersects the asymptote of the hyperbola in the first quadrant at point $M$. If $|MF_{1}|-|MF_{2}|=2b$, find the value of $e^{2}$.

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