Describe the given set of points with a single equation or with a pair of equations.
-The set of points equidistant from the points (0, 0, -6) and (0, 0, 4)

Question

Describe the given set of points with a single equation or with a pair of equations.
-The set of points equidistant from the points (0, 0, -6) and (0, 0, 4)
A) x + y = -1
B) z = -1
C) z > -6 and z < 4
D) x + y = 0 and -6 < z < 4

Quizplus · Accepted Answer

The set of points equidistant from (0, 0, -6) and (0, 0, 4) forms a plane perpendicular to the line connecting these two points and bisects the segment connecting them. The midpoint of the segment is at (0, 0, -1), so the equation describing the set of points is z = -1.

Describe the Given Set of Points with a Single Equation