
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, the parametric equations of curve C are $$\begin{cases} \overset{x=3cos\theta }{y=2sin\theta }\end{cases}$$ (θ is the parameter), P(x₀, y₀) is any point on curve C, and moving point Q(x, y) satisfies $$\begin{cases} \overset{x=x_{0}}{2y=3y_{0}}\end{cases}$$. Record the trajectory of Q(x, y) as E. Establish a polar coordinate system with the coordinate origin O as the pole and the positive semi-axis of the x-axis as the polar axis. The polar equation of l is θ = $$\frac {π}{4}$$ (ρ ∈ R), and the polar coordinates of point A are (5, 0).

1. Find the general equation of E.
2. If l intersects E at points M and N, find the area of △AMN.

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