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It is impossible to define a parabola with only two points given. An infinite number of parabolic functions will share the two points. Remember that a parabolic function [ax2 + bx1 + cx0] is defined by three coefficients: a, b and c. Two given points only allow you to form two equations with these coefficients. Three equations are generally needed to solve simultaneously for three variables, so three points need to be supplied to pin down your rule/function.
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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).
Can two points be noncoplanar?
Any three given points can be joined by a common plane, and any two given points can be joined by a common line and an infinite number of common planes.
Locus of all points which are the same distance from two given points?
line
The locus of all points which are the same distance from two given points describes a?
Straight line
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.
Graphs how to find rule when given two points on graph?
Connect the two points.
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).
Is a parabola a line?
By the geometric definition of a line, it is represented by two points, and all points on the line are collinear, between or extrapolating to infinity from the straight line made by the two points. In other words, a line is straight, and can be represented by a binomial function (example: y=2x+1). A parabola is a function, but cannot be described mathematically as a line.
Can two points be noncoplanar?
Any three given points can be joined by a common plane, and any two given points can be joined by a common line and an infinite number of common planes.
Locus of all points which are the same distance from two given points?
line
How many points given for a conversation in rugby?
You receive two points for converting a try.
The graph of a cubic is called a parabola?
No. Parabola and the cubic graph are definitely two different things.
The locus of all points which are the same distance from two given points describes a?
Straight line
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.
How do you calculate surface area of a parabola?
A parabola is a two dimensional open curve. Its area is therefore infinite.
How many points for a touchback in football?
Points are not given for a Touchback. I believe you are confusing this with a Safety, where two points are awarded to the defense.
Where is the line of symmety located on a parabola?
The line of symmetry located on a parabola is right down the center. A parabola is a U shape. Depending on the direction of the parabola it either has a x axis of symmetry or y axis of symmetry. You should have two equal sides of the parabola.
