
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 in the coordinate plane, the ratio of the distance from point M(x, y) to two fixed points M1(26, 1) and M2(2, 1) is equal to 5.  
(Ⅰ) Find the equation of the trajectory of point M and explain what shape the trajectory is;  
(Ⅱ) Let the trajectory in (Ⅰ) be C. A line l passing through point M(-2, 3) intersects C, and the length of the segment obtained is 8. Find the equation of line l.

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