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Math Help - Locus Question

  1. #1
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    Question Locus Question

    Lines l and m are parallel and 4 cm apart. Point P lies on line l. What is the locus of points 3 cm from P and also equally distant from l and m?
    a.) 1 point
    b.) 2 points
    c.) 1 line
    d.) two lines

    *Please explain if possible. Thanks for any help!*
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  2. #2
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    first of all, make a sketch of the two lines and point P ...

    the set of all points 3 cm from P forms a circle of radius 3 cm about P.
    sketch that circle.

    now look ... how many points on that circle are equidistant from l and m?
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  3. #3
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    Sorry about the rather crude drawing!
    Attached Thumbnails Attached Thumbnails Locus Question-locus.gif  
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  4. #4
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    Thank you, skeeter and Plato for your help. Plato - Your drawing really helped a lot. I didn't understand the wording before, but it seems really simple now. Thanks again!
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