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I believe that is the definition of a straight line.

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Q: What is the locus of points in a plane that are equidistant from two fixed points?
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Related questions

What is the locus of points in a plane that are equidistant from points A and B in the plane?

a straight line ..


What figure is the locus of all points that are equidistant from two fixed points?

A line in 2D and a plane in 3D A perpendicular bisector of the line connecting the 2 given points


Locus of all points in a plane equidistant from a given point?

A Circle.


What is the locus of points in a plane equidistant from the sides of an angle?

A line that is the angle bisector.


How is the locus of points equidistant from two parallel lines in a plane constructed?

you dont


What is a point that is equidistant from all points on a circle?

The center of the circle. That's how the circle is defined. (The collection of all points on a plane equidistant from a fixed point. The fixed point is the center and the fixed distance is the radius.)


What is the locus of points in space that are equidistant from two parallel planes?

A plane midway between the two given planes and parallel to them.


Is the set of all points in a plane that are equidistant from a fixed point of the plane called the center?

That set of points forms what is known as a "circle".


What is the locus of all points in a plane equidistant from two parallel lines in the plane?

It's another line, parallel to both of the first two and midway between them.


The center of a circle is a example of what?

A point. In fact it is fixed point and the locus of all points, in a plane that is a fixed distance from that fixed point defines the circle.


What is the set of all points in the plane equidistant from one point in the plane?

The set of all points in the plane equidistant from one point in the plane is named a parabola.


All the points on a plane that are equidistant from a single point?

All points on the circumference of a circle drawn on a plane are equidistant from the single point on the plane which is the center of the circle.