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The set of all points in a plane that are equally distant from a fixed line and a fixed point in the plane is called a parabola.
"The set of all points in a plane equidistant from a fixed point (focus) and a fixed line (directrix)" is the definition of a parabola. Any point (x,y) on the parabola has the same distance from the focus (0,p) as from the directrix (y=-p).
It can be said that a hyperbola is the set of all locations in the plane whose distances from two fixed points (the foci) in the plane differ by a positive constant. The center of the hyperbola lies precisely in the middle of the two foci.
Once we know the x and y coordinates, we can apply the midpoint formula to locate a point that is in the middle of the set. The x coordinates are added together and divided by 2, followed by the y coordinates. Equidistant means equidistant from a place. Equidistant points are the same distance apart. Geometry uses equidistant for parallel lines, perpendicular bisectors, circles, angle bisectors, and so on.
To know more about the locus of points:
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