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Q: What figure is the locus of all points such that the sum of the distances from the point to two fixed points is 6 cm?
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What figure is the locus of all points such that the sum of the distances from the point to two points is 6cm?

http://en.wikipedia.org/wiki/Elipse


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


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 locus of points idea allows you to define objects in terms of points and given distances?

true


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

triangle


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

I believe that is the definition of a straight 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.


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


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

True


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

true


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 difference between circle and ellipse?

The simple answer is that an ellipse is a squashed circle.A more precise answer is that an ellipse is the locus (a collection) of points such that the sum of their distances from two fixed points (called foci) remains a constant. A circle is the locus of points that are all the same distance from a fixed point. If the two foci are moved closer together, the ellipse becomes more and more like a circle and finally, when they coincide, the ellipse becomes a circle. So, a circle is a special case of an ellipse.