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Math Help - Locus

  1. #1
    k123
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    Locus

    The equation of the locus of points 5 units from the origin is


    an equation of the locus of points 4 units from the point (2,-1) is
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by k123 View Post
    The equation of the locus of points 5 units from the origin is
    A point (x,y) is 5 units from the origin means that:

    x^2 + y^2 = 25

    which is the required equation of a circle centred at (0,0) of radius 5 units.

    an equation of the locus of points 4 units from the point (2,-1) is
    A point is 4 units from (2, -1) means that:

    (x-2)^2 + (y+1)^2 = 16

    which is the required equation of a circle centred at (2,-1) of radius 4 units.

    RonL
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