
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 line $C\_1$: $\begin{cases} x=1+ \frac {4}{5}t \\ y=1- \frac {3}{5}t \end{cases}(t\text{ is a parameter})$, and curve $C\_2$: $ρ=4\cos θ$
(1) Convert $C\_1$ and $C\_2$ into general form and rectangular coordinate equations;
(2) Find the length of the chord cut off by line $C\_1$ on curve $C\_2$.

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