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Are the directrix and focus different distances from a given point on a parabola?
One definition of a parabola is the set of points that are equidistant from a given line called the directrix and a given point called the focus. So, no. The distances are not different, they are the same. The distance between the directrix and a given point on the parabola will always be the same as the distance between that same point on the parabola and the focus. Any point where those two distances are equal would be on the parabola somewhere and all the points where those two distances are different would not be on the parabola. Note that the distance from a point to the directrix is definied as the perpendicular distance (also known as the minimum distance).
The set points in space that are a given distance from a given point is?
In three dimensions, the solid defined as being bound by the set of points at a given distance form a point is a sphere. In two dimensions, the figure defined as being bound by the set of points at a given distance from a point is a circle. In one dimension, a line segment is bound by the two points at a given distance from a point.
What is the set of all points in a plane that are a given distance from a given point?
That's a "circle". The given distance is the circle's radius, and the given point is the circle's center.
Which is a solid bounded by the set of all points at a given distance from a given point?
A sphere is a solid bounded by the set of all points at a given distance from a given point.
What is a line that is always the same distance from a single fixed point called In a circle?
It is the circle's radius
What is the set of points in a plane that are given distance from a point?
That's a figure called a "circle". The given distance is the circle's radius, and the point is its center.
Are the directrix and focus different distances from a given point on a parabola?
One definition of a parabola is the set of points that are equidistant from a given line called the directrix and a given point called the focus. So, no. The distances are not different, they are the same. The distance between the directrix and a given point on the parabola will always be the same as the distance between that same point on the parabola and the focus. Any point where those two distances are equal would be on the parabola somewhere and all the points where those two distances are different would not be on the parabola. Note that the distance from a point to the directrix is definied as the perpendicular distance (also known as the minimum distance).
What is the set of points same distance from a given point called?
It is called a circle.
The set of all points in a plane that are the same distance from a given point?
circle, but the given end point is called the center of a circle : )
What is the set of points in a plane at a given distance from a given point in that plane?
These point are usually called loci as they are defined by a give set of rules.
What is the set of all points in space that are the same distance from a point?
The set of all points in space that are the same distance from a given point is called a sphere.
Is a solid with all points the same distance from a given point called the center?
It is a sphere.
The set of points in space that are a given distance from a given point is?
A spherical surface, with its center at the given point, and its radius equal to the given distance.
What is the distance between focal point and center?
The distance between the focal point and the center of a circle is called the radius. It is a fixed distance that remains constant for a given circle.
What is the set of points in a space that are a given distance from a given point?
They form the sphere whose center is the given point and whose radius is the given distance.
When you slide a given distance in a given direction what is it called?
It is called displacement. Displacement is a vector quantity that measures the change in position of an object from its initial point to its final point in a specific direction.
A set of points that are ALL THE same distance from a given point?
The set of all points a given distance from a center point is a circle. The given distance is the radius, and the given point is the center. Or, in 3 dimensional space, a sphere.
