
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
Let \\(P\\) be a moving point on the hyperbola \\( \frac {2x^{2}}{3}- \frac {y^{2}}{6}=1\\), and from point \\(P\\) draw two tangents to the circle \\(x^{2}+y^{2}=2\\) (with \\(P\\) outside the circle). If the slopes of these two tangents are \\(k_{1}\\) and \\(k_{2}\\), then \\(k_{1}k_{2}=\\) ______.

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