
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 curve C₁: x²+(y-3)²=9, where A is a moving point on the curve C₁. Establish a polar coordinate system with the origin O as the pole and the positive semi-axis of the x-axis as the polar axis. Point B is obtained by rotating point A counterclockwise 90° around point O. The trajectory equation of point B is set as curve C₂.
(I) Find the polar coordinate equations of the curves C₁ and C₂;
(II) The ray θ= $$\frac {5π}{6}$$ (ρ＞0) intersects curves C₁ and C₂ at points P and Q, respectively. A fixed point M(-4,0) is given. Find the area of △MPQ.

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