
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 $\rho^{2}= \dfrac {9}{\cos ^{2}\theta +9\sin ^{2}\theta }$, with the pole as the origin of the Cartesian coordinate system and the polar axis as the positive half-axis of $x$.  
$(1)$ Find the standard equation of curve $C$;  
$(2)$ If $A$ and $B$ are two points on curve $C$ and $OA \perpendicular OB$, find the value of $\dfrac {1}{|OA|^{2}}+ \dfrac {1}{|OB|^{2}}$.

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