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Q: What is the locus of all points that are a fixed distance from a given point?
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A compass draws all points a given distance from a fixed point thereby creating a locus of points for a circle?

True


What is the locus of points at a given distance from a given point?

A circle


Locus of all points which are the same distance from two given points?

line


Which of these is the best definition for ellipse?

It is the locus of points such that the sum of their distance from two distinct fixed points is a constant.


The locus of all points which are the same distance from two given points describes a?

Straight line


What does parabola mean in mathematical terms?

It is the locus of all points such that their distance from a fixed line (the directrix) is the same as their distance from a fixed point which is not on that line (the focus).


A compass draws all points at a uniform distance from a fixed point thereby creating a locus of points for a circle?

true


What is a locus of points equidistant from a point?

A locus of points is just the set of points satisfying a given condition. The locus of points equidistant from a point is a circle, since a circle is just a set of points which are all the same distance away from the center


What is the definition of ellipse in math terms?

It is the locus of a point such that the sum of its distance from two (distinct) fixed points is a constant. So, given two fixed points, F1 and F2, an ellipse is the locus of the point P such that PF1 + PF2 is a constant. That would be an ellipsoid, a 3 dimensional thing. The 2 distances have to be measured in a fixed (2 dimensional) plane.


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 locus of points at a given distance of a line?

The locus of points at a given distance to a line would be a line parallel to the first line. Assuming that both lines are straight.


A compass draws all points that are equidistant from a fixed point thereby creating a locus of points for a circle?

A circle is the locus of all points equidistant from a given point, which is the center of the circle, and a circle can be drawn with a compass. (The phrase "locus of points for a circle" does not seem to be conventionally defined.) or true