# Geometry Locus help!

• November 23rd 2008, 03:37 PM
Moncon14
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!
• November 23rd 2008, 03:43 PM
skeeter
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.