Geometry help???

Question

Draw the locus on the coordinate plane.

a. All the points 5 units from x=2
b. All points equidistant from y = 3 and y = -1

2. Describe the locus: The points in space equidistant from the points of a circle

Answer 1

All the points five units from x = 2 comprise the two lines x = 7 and x = –3.

All the points equidistant from y = 3 and y = –1 comprise the line y = 1.

The point in space equidistant from the all points of a circle is the center of the circle.

Answer 2

a) are the lines x=5 and x= -3
b) is the line y=1
2) Is the line perpendicular to the plane of the circle through its center