
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 circle M: $x^2+(y-2)^2=1$, and Q is a moving point on the x-axis, with QA and QB being the tangents to circle M at points A and B, respectively.  
(1) If the coordinates of point Q are (-1, 0), find the equations of the tangents QA and QB;  
(2) Find the minimum value of the area of quadrilateral QAMB.

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