
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 a hyperbola are $F_{1}(0, \sqrt {10})$ and $F_{2}(0,- \sqrt {10})$, and $M$ is a point on this hyperbola satisfying $\overrightarrow{MF_{1}}\cdot \overrightarrow{MF_{2}}=0$ and $| \overrightarrow{MF_{1}}|\cdot| \overrightarrow{MF_{2}}|=2$, then the standard equation of this hyperbola is ______.

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