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Locus of points equidistant from a point?
circle
Locus of a point equidistant from two concentric circles?
Another circle midway between the originals.
Lines that have exactly one point in common?
intersecting lines
What is the different of a perpendicular lines and intersecting lines?
The only difference between perpendicular lines and intersecting lines is that perpendicular lines create a right angle at the point of intersection.
The locus of all points in space equidistant from a given point?
That's a sphere whose radius is the constant equal distance.
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.
How many points are equidistant from two intersecting lines and 3 units from their point of intersection?
4
What is the number of points equidistant from two intersecting lines and 2 centimeters from the point of intersection?
2
Locus of a point equidistant from a point?
The locus of a moving point so that it is equidistant from another fixed point (i.e. the distance between them is always constant) is a circle.
Locus of points equidistant from a point?
circle
What is the locus point equidistant from two points AB that are 8 cm apart?
The locus point is the perpendicular bisector of AB. The locus point is the perpendicular bisector of AB.
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
Locus of all points in a plane equidistant from a given point?
A Circle.
What are lines intersecting at a point?
Lines intersecting at a point are known as co-linear.
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).
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.
