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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 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.
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 definition of closed unit sphere?
It is the set of all points [from some fixed point] at a distance of 1 unit, where the points on the surface of the sphere are included in the set.
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.
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.
Is the set of all points in a plane that are equidistant from a fixed point of the plane called the center?
That set of points forms what is known as a "circle".
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 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.
In geometry what is the set of all points?
A set of all points is how various shapes are made in geometry. Lines are sets of points, and so are surfaces. Circles are sets of all points that are a fixed distance from a central point. All geometric shapes are made from sets of all 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.
True or false a circle is the set of all points in a plane that lie a fixed distance from a fixed point?
That's false
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.
Briefly explain the focus and directrix of a parabola?
the set of points equidistant from a fixed point
What is the definition of closed unit sphere?
It is the set of all points [from some fixed point] at a distance of 1 unit, where the points on the surface of the sphere are included in the set.
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.
