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Math Help - Geometry Locus help!

  1. #1
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    Geometry Locus help!

    Hey everyone, I need help on the following problem: What is the total number of points 3 units from the origin and equidistant from the x and y axes.

    I graphed the 3 units from the origin, but I'm confused with the last half. Thanks for any help!
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  2. #2
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    the set of points equidistant from the x and y axes are those points that lie on the lines y = x and y = -x.

    the set of points 3 units from the origin lie on the circle of radius 3 centered at the origin ... x^2 + y^2 = 3^2

    the locus of points satisfying both would be the intersection of the three graphs ... easy to see if you can graph them.
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