
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 the line l: $$\begin{cases} \overset{x=2+t}{y=6-2t}\end{cases}(t$$ is the parameter), in the polar coordinate system with the origin as the pole and the positive semi-axis of the x-axis as the polar axis, the polar equation of the curve C is 4ρ<sup>2</sup>+5ρ<sup>2</sup>cos<sup>2</sup>θ-36=0.
(1) Find the parametric equation of curve C and the general equation of line l;
(2) Through any point M on curve C, a line is drawn to line l at an angle of 60°, intersecting l at point N. Find the minimum value of MN.

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