Describe the given set of points with a single equation or with a pair of equations.
-The set of points equidistant from the points (-1, 0, 0) and (2, 0, 0)

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 (-1, 0, 0) and (2, 0, 0)
A) y + z = 0.5
B) y + z = 0 and -1 < x < 2
C) x = 0.5
D) x > -1 and x < 2

Quizplus · Accepted Answer

The set of points equidistant from (-1, 0, 0) and (2, 0, 0) forms a plane perpendicular to the line segment connecting these points, bisecting the segment at its midpoint. The midpoint is at $\frac{-1 + 2}{2} = 0.5$, so the equation is $x = 0.5$.

Describe the Given Set of Points with a Single Equation