A line passes through the points and intersects the positive x-axis at the point A and the positive y-axis at the point B. What is the shortest possible distance between A and B?
Last edited by polymerase; Dec 2nd 2007 at 09:40 AM.
A line passes through the points and intersects the positive x-axis at the point A and the positive y-axis at the point B. What is the shortest possible distance between A and B?
Suppose the point is , then the line is:
and this meets the x-axis at
Now you can find the distance between and as a function of b.
Then find the which gives the minimum for this distance and the corresponding distance.