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What is the term for the set of all points in a plane that are the same distance from a given point?
This is the definition of a circle.
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).
Locus of all points which are the same distance from two given points?
line
What describes as all the points on a plane that are the same distance from a single point called a center?
A circle or a sphere would fit the given description.
The locus of all points which are the same distance from two given points describes a?
Straight line
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.
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.
What is a set of all of points in a plane that are the same distance from a given point?
circle
What is the set of points same distance from a given point called?
It is called a circle.
Sequence of all points in a plane that are the same distance from a given point?
That is a circle.
What is the definition of circle?
A circle is a simple shape of Euclidean geometry consisting of those points in a plane that are a given distance from a given point, the center.simplified, it is all the points on a plane that are the same distance from a given point.
Which term best describes the collection of all points in a plane that are the same distance from a given point in a plane?
"Circle". That "same distance" is the radius of the circle, and that "given point" is the center of the circle.
What name is given to the set of all points in a plane that are the same distance from a given fixed point?
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 : )
A solid figure that is the set of all points and that are the same distance from a given point is what?
A sphere
A circle is the collection of points in a plane that are the same distance from a given point in the plane?
true
What is made up of all the points that are the same distance away from a given point?
None of them.
