
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 P(1, $\sqrt {3}$) is on the asymptote of the hyperbola C: $\frac {x^{2}}{a^{2}}$$- \frac {y^{2}}{b^{2}}$$=1$ (a>0, b>0), F is the right focus of C, O is the origin, and if ∠FPO=90°, then the equation of C is ___.

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