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What conic section is defined by the set of all points in a plane that are equidistant from a single point and a line?
It is a parabola.
How many planes can possibly contain the three non collinear points?
There will always be a single plane through all three points.
How can you know if the points is collinear points or non collinear points?
It depends on the context in which the question is asked: whether it is basic geometry, coordinate geometry or vector algebra. If you can draw a single straight line through a set of points they are collinear; if you cannot then they are not.
Is a slope found by using any two points in the lines?
The slope of a line can be found by choosing any two points of that single line, not of multiple lines.
What are collinear points?
Collinear points are points that lie on the same line. Noncollinear points do not lie on the same line. Any two points are always collinear, i.e. forming a line. Three or more points can be collinear along a single line.Collinear points lies on the same straight line.
All the points on a plane that are equidistant from a single point?
All points on the circumference of a circle drawn on a plane are equidistant from the single point on the plane which is the center of the circle.
How do you best describe a parabola?
The set of all points in a plane that are equidistant from a single point and a single line
Which geometric object is defined as the set of all points in a plane equidistant from a single point and a single line?
parabola
Which geometric objects is defined as the set of all points in a plane equidistant from a single point and a single line?
A parabola.
What conic section is defined by the set of all points in a plane that are equidistant from a single point and a line?
It is a parabola.
The definition of the shape circle?
A circle is a set of points equidistant ( the same distance ) away from a single point, the center of the circle.
Is it true that the locus of points idea can be used to define straight lines circles and even more complex shapes such as parabolas?
Yes, the locus of points concept can be used to define various geometric shapes. A straight line can be defined as the locus of points equidistant from two fixed points, while a circle is the locus of points equidistant from a single fixed point (the center). More complex shapes, such as parabolas, can also be defined as loci; for instance, a parabola can be described as the locus of points equidistant from a fixed point (the focus) and a fixed line (the directrix).
Is a point is a Circle or not?
A point is not a circle. A point has no dimensions, it is a single, exact location in space. A circle is defined as the set of all points equidistant from some central point.
What is a figure where all the points are the same distance from a single point?
The question is ambiguous. Is the"single" point fixed or floating?
How many surface does a sphere have?
A sphere has a single curved surface. It is said to have one surface. Further, the sphere has no "flat spots" or "angles" or "discontinuities" of any kind. It is a planar figure that is the set of all points equidistant from a single point, which is its center.A sphere has only one surface.
What is the difference between a circle to an oval?
circle has single center point and is equidistant to point of radius,while oval has four(4) center points with two(2) different radius.
What shape am I al my points are the same distance from one fixed point?
You are describing a sphere in three-dimensional space or a circle in two-dimensional space. In both cases, all points are equidistant from a single fixed point, known as the center. The fixed distance from the center to any point on the shape is called the radius.
