# Minimum length

1. Nov 20, 2005

### dsb_101

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

2. Nov 20, 2005

### Tide

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

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