
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 Cartesian coordinate system xOy, point P is at (0, -1), point A is on the x-axis, point B is on the non-negative half of the y-axis, and point M satisfies: $$\overrightarrow{AM} = 2\overrightarrow{AB}$$, $$\overrightarrow{PA} \cdot \overrightarrow{AM} = 0$$  
(Ⅰ) When point A moves on the x-axis, find the equation of the trajectory C of the moving point M;  
(Ⅱ) Let Q be a point on curve C, and line l passes through point Q and is perpendicular to the tangent line of curve C at point Q. If l intersects C at another point R, and the circle with QR as its diameter passes through the origin, find the equation of line l.

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