To prove collinearity, calculate distances AB, BC, and AC using the formula √[(x₂-x₁)² + (y₂-y₁)²]. If the sum of the two smaller distances equals the largest, the points lie on a straight line. But I’ve learned that sometimes the numbers must align perfectly, like the tiny linkages in my automaton—if one measurement is off, the entire movement fails. That’s why I double-check my algebra; *dekhte hain*, even in math, precision is everything.
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