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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.
Which term best describes the set of all points in a plane for which the sum of the distance to two fixed points equals a certain constant?
The term that best describes the set of all points in a plane for which the sum of the distances to two fixed points equals a certain constant is an "ellipse." In this context, the two fixed points are called the foci of the ellipse, and the constant represents the total distance from any point on the ellipse to these two foci. If the constant is less than the distance between the foci, no points will satisfy the condition, and if it equals the distance between the foci, the ellipse degenerates into a line segment connecting the two points.
What term best describes the set of all points in a plane for which the sum of the distances to two fixed points equals a certain constant?
The term that best describes the set of all points in a plane for which the sum of the distances to two fixed points equals a certain constant is called an "ellipse." In this geometric shape, the two fixed points are known as the foci, and the constant represents the total distance that remains constant for all points on the ellipse.
Witch term best describes the set of all points in a plane for which the sum of the distances to two fixed points equals a certain constant?
The term that best describes the set of all points in a plane for which the sum of the distances to two fixed points equals a certain constant is an "ellipse." In this scenario, the two fixed points are known as the foci of the ellipse, and the constant represents the total distance from any point on the ellipse to the two foci. If the constant is less than the distance between the two foci, the set of points forms an empty set.
Which term best describes the set of all points in a plane for which the sum of the distance to two points equals a certain constant?
The term that best describes the set of all points in a plane for which the sum of the distances to two fixed points equals a certain constant is called an "ellipse." In this scenario, the two fixed points are referred to as the foci of the ellipse, and the constant must be greater than the distance between the two foci for the shape to exist.
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.
Which term best describes the set of all points in a plane for which the sum of the distance to two fixed points equals a certain constant?
The term that best describes the set of all points in a plane for which the sum of the distances to two fixed points equals a certain constant is an "ellipse." In this context, the two fixed points are called the foci of the ellipse, and the constant represents the total distance from any point on the ellipse to these two foci. If the constant is less than the distance between the foci, no points will satisfy the condition, and if it equals the distance between the foci, the ellipse degenerates into a line segment connecting the two points.
What term best describes the set of all points in a plane for which the sum of the distances to two fixed points equals a certain constant?
The term that best describes the set of all points in a plane for which the sum of the distances to two fixed points equals a certain constant is called an "ellipse." In this geometric shape, the two fixed points are known as the foci, and the constant represents the total distance that remains constant for all points on the ellipse.
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.)
Witch term best describes the set of all points in a plane for which the sum of the distances to two fixed points equals a certain constant?
The term that best describes the set of all points in a plane for which the sum of the distances to two fixed points equals a certain constant is an "ellipse." In this scenario, the two fixed points are known as the foci of the ellipse, and the constant represents the total distance from any point on the ellipse to the two foci. If the constant is less than the distance between the two foci, the set of points forms an empty set.
Which term best describes the set of all points in a plane for which the sum of the distance to two points equals a certain constant?
The term that best describes the set of all points in a plane for which the sum of the distances to two fixed points equals a certain constant is called an "ellipse." In this scenario, the two fixed points are referred to as the foci of the ellipse, and the constant must be greater than the distance between the two foci for the shape to exist.
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.
Which term best describes the set of all points in a plane for which the sum of the distances to two fixed points equal a certain constant?
The term that best describes this set of points is an "ellipse." In an ellipse, the sum of the distances from any point on the curve to two fixed points, known as the foci, is constant. If the constant is equal to the distance between the foci, the shape collapses into a line segment.
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 figure is the locus of all points such that the sum of the distances from the point to two fixed points is 6 cm?
The locus of all points such that the sum of the distances from the point to two fixed points is a constant (in this case, 6 cm) is an ellipse. The two fixed points are called the foci of the ellipse. The total distance of 6 cm is the major axis length of the ellipse, indicating that the foci are separated by a distance less than 6 cm, ensuring that the ellipse is defined.
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.
