
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, the parametric equation of line $l$ is $\begin{cases} x=- \dfrac {3}{5}t+2 \\ y= \dfrac {4}{5}t\end{cases}$ (where $t$ is the parameter). With the origin $O$ as the pole and the positive half-axis of $x$ as the polar axis, the polar equation of circle $C$ is $\rho=a\sin \theta$ ($a\neq 0$).  
(Ⅰ) Find the equation of circle $C$ in the Cartesian coordinate system and the general equation of line $l$;  
(Ⅱ) Suppose the chord length of circle $C$ cut by line $l$ is $\sqrt {3}$ times the radius of circle $C$, find the value of $a$.

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