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What is the locus of points equidistant from lines y equals 0 and x equals 3?
The locus of points equidistant from lines y = 0 and x = 3 is the line y = -x + 3.
How is the locus of points equidistant from two parallel lines in a plane constructed?
you dont
What is the locus of points equidistant from two parallel lines?
It's a third line, parallel to both and midway between them.
The locus of points idea can be used to define straight lines circles and even more complex shapes as parabolas?
The locus of points refers to the set of all points that satisfy a given condition or equation. For straight lines, the locus can be defined by a linear equation, while circles are defined as the set of points equidistant from a center point. Parabolas, on the other hand, can be described as the locus of points equidistant from a fixed point (the focus) and a fixed line (the directrix). This concept allows for the geometric representation of various shapes based on specific conditions.
What is the locus of points equidistant from two parallel lines that are 6 inches apart?
It is a line that is also parallel to them and exactly halfway between them.
What is the locus of points equidistant from lines y equals 0 and x equals 3?
The locus of points equidistant from lines y = 0 and x = 3 is the line y = -x + 3.
How is the locus of points equidistant from two parallel lines in a plane constructed?
you dont
What is the locus of points equidistant from two parallel lines?
It's a third line, parallel to both and midway between them.
What is the locus of points equidistant from two parallel lines that are 6 inches apart?
It is a line that is also parallel to them and exactly halfway between them.
The locus of points equidistant from the lines y equals -2 and y equals 8?
The locus of points between 2 lines will always be another line that is halfway between the original 2 lines. In this case, that will be a line halfway between y=-2 and y=8, and since 3 is halfway between -2 and 8, the locus will be the line y=3.
What is the locus of all points that are equidistant from 2 lines called?
Assume that all distances are measured along the appropriate perpendicular. There is no specific name for the locus since the locus can be two or one straight lines, depending upon the original two lines. If the two lines are intersecting then the locus is a pair of straight lines that bisect the two angles formed by the original lines. If the original two lines are parallel, then the locus is a line parallel to them and halfway between them.
Locus of a point equidistant from two intersecting lines?
the pair of lines bisecting the angles formed by the given lines
What is the locus of all points in a plane equidistant from two parallel lines in the plane?
It's another line, parallel to both of the first two and midway between them.
What is the locus of point equidistant from two intersecting lines?
The locus in a plane is two more intersecting lines, perpendicular to each other (and of course half-way between the given lines.
What is the locus of points equidistant from two intersecting lines and that are at a given distance from a point O?
The locus of points equidistant from two intersecting lines forms two angle bisectors of the angles created by the lines. When considering points that are at a given distance from a point O, the result is the intersection of the angle bisectors with a circle (or circles) centered at O with the specified radius. This results in two arcs for each angle bisector, forming a total of four distinct points along the angle bisectors, each at the specified distance from point O.
What are lines that are equidistant at all points?
They are parallel lines
What is locus of points that is 3 units from line P?
Two parallel lines.
