
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 polar coordinate equation of curve C is ρ<sup>2</sup>-4ρcosθ-2psinθ=0. Establish a rectangular coordinate system xOy with the pole as the origin, the positive semi-axis of the polar axis as the x-axis. In the rectangular coordinate system, a line passes through point P(1,2) with an inclination angle of $$\frac {π}{6}$$.
(1) Write the rectangular coordinate equation of curve C and the parametric equation of the line;
(2) Suppose the line intersects curve C at points A and B, find the value of |PA|•|PB|.

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