
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 a line $l$ passing through point $P(2, 1)$ intersects with circle $C: x^2+y^2+2x-4y-11=0$ at two points $A$ and $B$, and $\angle ACB = 90^\circ$ (where $C$ is the center of the circle).
(Ⅰ) Find the equation of line $l$,
(Ⅱ) Find the equation of the circle passing through point $P$, and $C$ with the smallest area among such circles.

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