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Q: What is the locus for a point and fixed distance?
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What is the locus of all points that are a fixed distance from a given point?

triangle


Locus of a point equidistant from a point?

The locus of a moving point so that it is equidistant from another fixed point (i.e. the distance between them is always constant) is a circle.


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.


Circle and its elements?

A circle is the locus of a point which moves such that its distance from a fixed point is constant. .The fixed point is centre and fixed distance is radius of circle. Elements of circle are centre, radius and circumference.


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).


What best describes a single fixed point that is the same distance from the parabola as the directrix is from the parabola?

Locus


What is the locus of a moving point so that the distance between it and a line is equal to the distance between it and a fixed point?

It is going to look like a somewhat of a quadratic parabola.


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 denifion of a circle?

I assume that you are asking about the definition of a circle. A circle is a locus of points in a plane that are at a constant distance from a fixed point.


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 foci of hyperbola?

A half of a hyperbola is defined as the locus of points such that the distance of the point from one fixed point (a focus) and its distance from a fixed line (the directrix) is a constant that is greater than 1 (the eccentricity). By symmetry, a hyperbola has two foci and two directrices.


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.