
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 coincides with the origin of the rectangular coordinate system and the polar axis coincides with the positive x-axis, the polar equation of circle C is $\rho = a\sin\theta$, and the parametric equation of line l is 
$$
\begin{cases} 
x= - \frac {3}{5}t+2 \\ 
y= \frac {4}{5}t
\end{cases} \quad (t \text{ is the parameter})
$$
(1) If $a=2$, the intersection of line l with the x-axis is point M, and N is a moving point on circle C, find the maximum value of $|MN|$;
(2) The chord length cut by line l from circle C 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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