
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 pole of the polar coordinate system coincides with the origin O of the rectangular coordinate system, and the polar axis coincides with the positive semi-axis of the x-axis, the parameter equation of the line l is: $$\begin{cases} x= \frac {1}{2}t \\ y= \frac { \sqrt {3}}{2}t-1\end{cases}$$ (t is the parameter), and the polar coordinate equation of the curve C is: ρ<sup>2</sup>\-2ρsinθ-3=0.
(1) Find the general equation of line l and the rectangular coordinate equation of curve C;
(2) Find the length of the line segment intercepted by line l on curve C.

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