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How is the locus of points equidistant from two parallel lines in a plane constructed?
you dont
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 describes the Locus of all points that are equidistant from 2 lines?
The perpendicular bisector of the line joining the two points.
What is the locus of points equidistant from two parallel lines?
It's a third line, parallel to both and midway between them.
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).
How is the locus of points equidistant from two parallel lines in a plane constructed?
you dont
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 describes the Locus of all points that are equidistant from 2 lines?
The perpendicular bisector of the line joining the two points.
Locus of points equidistant from a point?
circle
What is a locus of points equidistant from a point?
A locus of points is just the set of points satisfying a given condition. The locus of points equidistant from a point is a circle, since a circle is just a set of points which are all the same distance away from the center
What is the locus of points equidistant from two parallel lines?
It's a third line, parallel to both and midway between them.
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).
What is the locus for all the points equidistant from x equals 0 and y equals 0?
Any circle centered at the origin fits that description.
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 in a plane that are equidistant from points A and B in the plane?
a straight line ..
A compass draws all points that are equidistant from a fixed point thereby creating a locus of points for a circle?
A circle is the locus of all points equidistant from a given point, which is the center of the circle, and a circle can be drawn with a compass. (The phrase "locus of points for a circle" does not seem to be conventionally defined.) or true
