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Locus of points equidistant from a point?
circle
Locus of a point equidistant from two concentric circles?
Another circle midway between the originals.
Lines that have exactly one point in common?
intersecting lines
What is the different of a perpendicular lines and intersecting lines?
The only difference between perpendicular lines and intersecting lines is that perpendicular lines create a right angle at the point of intersection.
The locus of all points in space equidistant from a given point?
That's a sphere whose radius is the constant equal distance.
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