
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 rectangular coordinate system xOy, the equation of line l is $\sqrt {3}x+y+a=0$, and the parametric equation of curve C is $\begin{cases} x=3cos\theta, \\ y=1+3sin\theta \end{cases}$ (θ is the parameter). Establish a polar coordinate system with the coordinate origin as the pole and the positive semi-axis of the x-axis as the polar axis.

1. Find the polar coordinate equations of line l and curve C.
2. If the point M is the intersection of line l and the line θ= $\frac {π}{6}$ (ρ∈R), and points A and B are the intersections of curve C and the line θ= $\frac {π}{6}$, and point M is exactly the midpoint of line segment AB, find a.

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