
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 polar equation of curve C is $$ρ^{2}= \frac {9}{\cos^{2}\theta +9\sin^{2}\theta }$$, establish a Cartesian coordinate system with the pole as the origin and the polar axis as the positive x-axis.  
(1) Find the standard equation of curve C;  
(2) Points A and B are on curve C, and if OA⊥OB, find the value of $$\frac {1}{|OA|^{2}}+ \frac {1}{|OB|^{2}}$$.

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