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Math Help - Line Segment Distance

  1. #1
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    Line Segment Distance

    Hey guys. I am having extreme dificulty on this question. I am wondering if anyone knows how to go about this, seems some what too difficult for me:

    "IF we have two points 'A' and 'B' which are on opposite sides of a straight line 'M'. Locate a point 'X' on 'M' where the difference betwween |AX| and |BX| is a maximum."
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  2. #2
    A riddle wrapped in an enigma
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    Furnis1,

    Do not double post. Stay with the one in Urgent Homework Help and keep it active until you're satisfied with the responses.

    Thanks
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  3. #3
    Senior Member pankaj's Avatar
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    Quote Originally Posted by furnis1 View Post
    Hey guys. I am having extreme dificulty on this question. I am wondering if anyone knows how to go about this, seems some what too difficult for me:

    "IF we have two points 'A' and 'B' which are on opposite sides of a straight line 'M'. Locate a point 'X' on 'M' where the difference betwween |AX| and |BX| is a maximum."
    Simple.Point X will be point of intersection of AB and the given line.
    Consider triangle inequality
    ||AX|-|BX||<=|AB
    Equality occurs when A,X,B are collinear
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