
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
In the rectangular coordinate system on the plane, a polar coordinate system is established with the coordinate origin as the pole and the positive semi-axis of the x-axis as the polar axis. The polar coordinate equation of the curve C₁ is ρ²-6ρcosθ+5=0, and the parametric equation of the curve C₂ is $$\begin{cases} x=tcos \frac {π}{6} \\ y=tsin \frac {π}{6}\end{cases}$$ (t is the parameter).
(1) Find the rectangular coordinate equation of the curve C₁ and explain what type of curve it is.
(2) If the curves C₁ and C₂ intersect at points A and B, find the value of |AB|.

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