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Math Help - Locus of Points

  1. #1
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    Locus of Points

    (1) Point P is located on line AB.

    (a) Describe the locus of points that are 3 units from line AB and (b) 5 points from point P.

    (2) How many points satisfy both conditions in part (a) above?

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  2. #2
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    Quote Originally Posted by magentarita View Post
    (1) Point P is located on line AB.

    (a) Describe the locus of points that are 3 units from line AB and (b) 5 points (maybe units?) from point P.

    (2) How many points satisfy both conditions in part (a) above?
    a) The locus of all points which are 3 units from a straight line are two parallels: One "above" and one "below"

    b) The locus of all points with a constant distance to a fixed point is a circle.

    Since P \in (AB) and the radius of the circle is greater than the distance of the parallels to (AB) you'll get 4 points.
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  3. #3
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    Smile ok

    Quote Originally Posted by earboth View Post
    a) The locus of all points which are 3 units from a straight line are two parallels: One "above" and one "below"

    b) The locus of all points with a constant distance to a fixed point is a circle.

    Since P \in (AB) and the radius of the circle is greater than the distance of the parallels to (AB) you'll get 4 points.
    Thanks for the great tips.
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