
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 line l: $$\begin{cases} x=1+t \\ y=2-t \end{cases}$$ (t is a parameter), establish a polar coordinate system with the coordinate origin as the pole and the x-axis as the polar axis. The curve C is defined as ρ=2sinθ.
(1) Find the rectangular coordinate equation of curve C and the general equation of line Z.
(2) Find the equation of the line l₁, which is parallel to line l and has a chord length of $$\sqrt {3}$$ intercepted by curve C.

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