
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 Cartesian coordinate system $xOy$, the parametric equation of curve $C_{1}$ is 
$$
\begin{cases} 
x= \sqrt {7}\cos \alpha \\ 
y=2+ \sqrt {7}\sin \alpha
\end{cases}
$$
where $\alpha$ is the parameter, and the equation of curve $C_{2}$ is $(x-1)^{2}+y^{2}=1$. Establish a polar coordinate system with the origin $O$ as the pole and the positive half-axis of $x$ as the polar axis.  
(Ⅰ) Find the general equation of curve $C_{1}$ and the polar equation of curve $C_{2}$.  
(Ⅱ) If the ray $\theta= \frac {\pi}{6}(\rho > 0)$ intersects curves $C_{1}$ and $C_{2}$ at points $A$ and $B$ respectively, find $|AB|$.

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