1. What is the locus in space of points equidistant from all the points on a given circle

2. find the locus of the centers of all circles of all circles that pass through the points

3. What is the name of the surface in space every point of which is a fixed distance from a given line

4. a circle with a given radius rolls along the perimeter of a equilateral triangle. what is the locus

5. given a circle with center P and a radius of 10 cm find the locus of the midpoints of all possible 12 cm chords in the circle.