parabola
Reflection
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.
The difference in the y-values of two points on a line is equal to the vertical distance between those points. This difference is also known as the "rise" or the "change in y." To calculate the difference in the y-values of two points (y₁, x₁) and (y₂, x₂) on a line, you simply subtract the y-coordinate of one point from the y-coordinate of the other: Difference in y-values = y₂ - y₁ This calculation gives you the vertical distance between the two points on the line.
Given a straight line (a directrix) and a point (the focus) which is not on that line, a parabola is locus of all points whose distance form the directrix is the same as its distance from the focus.
the length of a perpendicular segment from the point to the line
Alternates are fill-in-the-blank version of this Q. are the same distance from a point and a line
Twice the distance between a point and halfway to the other point.
parabola
Reflection
Answer: The magnitude of displacement is equal to distance traveled when motion is in a straight line
Distance is the total length of the path traveled between two points, while displacement is the direct line distance between those points. Distance can be equal to or greater than the magnitude of displacement if the path followed is not a straight line.
The shortest distance between four points is a straight line to and from each individual point. If all four points are aligned, the result will be a single straight line through all four points.
The ordinate and abscissa are equal for every point on the line [ y = x ].
A line is the shortest distance between two points. I can't understand what this question asks, but it seems to be asking for that particular answer.
It is the locus of all points such that their distance from a fixed line (the directrix) is the same as their distance from a fixed point which is not on that line (the focus).
It the point is on the line the distance is 0. If the point is not on the line, then it is possible to draw a unique line from the point to the line which is perpendicular to the line. The distance from the point to the line is the distance along this perpendicular to the line.