Help Needed: Finding Segment AB of Line Through (2,2)

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SUMMARY

The discussion focuses on finding the minimum length of segment AB formed by a line passing through the point (2,2) that intersects the x- and y-axes. The key formula for the distance between points A and B is established as √(A² + B²). The equation of the line is given as y - 2 = -B/A (x - 2), which is crucial for determining the coordinates of points A and B. The minimum length occurs when the derivative of the distance function is greater than zero, indicating a need for optimization techniques.

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Sorry..i posted this same question in another wrong section. This is the right one..

A line through the point (2,2) cuts the x- and y- axes at points A and B respectively. Find the Minimum length of the segment AB.

Im really stuck on this problem. I know that minimum lengh is when f'>0.

Could you guys give me a lift off here?

ty
 
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HINT: The distance between the two axial points is [itex]\sqrt {A^2 + B^2}[/itex] and equation of a line passing through the indicated point is [itex]y-2 = -\frac {B}{A} (x - 2)[/itex].
 

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