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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.
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.
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 difference between a circle and a ellipse?
Basically a circle has a constant radius throughout and an ellipse does not.a circle has a constant radiusan ellipse has two foci. they are at either end of the ellipse
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.
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.
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 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.
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.
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 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.
What is the difference between a circle and a ellipse?
Basically a circle has a constant radius throughout and an ellipse does not.a circle has a constant radiusan ellipse has two foci. they are at either end of the ellipse
What is the set of all points on a plane so that the sum of the distances from two fixed points is always constant?
an ellipse.
The set of all points in a plane that are the same distance from a fixed point?
This set of points forms a circle with the fixed point as its center.
What is the set of points in a plane at a fixed distance from a given point?
CIRCLE
What is the locus of all points that are a fixed distance from a given point?
triangle
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.
