
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, points A (-1, 0), B (1, 0), and C (0, -1) are given. Point N is on the y-axis, MN is perpendicular to the y-axis, and point M satisfies $$\overrightarrow{AM} \cdot \overrightarrow{BM} = \overrightarrow{ON} \cdot \overrightarrow{CM}$$ (O is the origin of the coordinates). The trajectory of point M is curve T.
(Ⅰ) Find the equation of curve T;
(Ⅱ) Let point P (P is not on the y-axis) be any point on curve T, the tangent line l of curve T at point P intersects the line $$y = -\frac{5}{4}$$ at point Q. Investigate whether the circle with diameter PQ passes through a fixed point. If it passes through a fixed point, find the coordinates of this fixed point; if not, explain why.

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