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What figure is the locus of all points such that the sum of the distances from the point to two fixed points is 6 cm?
The locus of all points such that the sum of the distances from the point to two fixed points is a constant (in this case, 6 cm) is an ellipse. The two fixed points are called the foci of the ellipse. The total distance of 6 cm is the major axis length of the ellipse, indicating that the foci are separated by a distance less than 6 cm, ensuring that the ellipse is defined.
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 the locus of points at a given distance from a given point?
A circle
What is the point from which all points are equidistant?
This is the center, or locus, of a set of points, such as a curve or circle.
What is the definition of ellipse in math terms?
It is the locus of a point such that the sum of its distance from two (distinct) fixed points is a constant. So, given two fixed points, F1 and F2, an ellipse is the locus of the point P such that PF1 + PF2 is a constant. That would be an ellipsoid, a 3 dimensional thing. The 2 distances have to be measured in a fixed (2 dimensional) plane.
What figure is the locus of all points such that the sum of the distances from the point to two fixed points is 6 cm?
The locus of all points such that the sum of the distances from the point to two fixed points is a constant (in this case, 6 cm) is an ellipse. The two fixed points are called the foci of the ellipse. The total distance of 6 cm is the major axis length of the ellipse, indicating that the foci are separated by a distance less than 6 cm, ensuring that the ellipse is defined.
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
Is line is a locus of point?
No. A line is the locus of all points located between any two points.
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.
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
What is the locus of points at a given distance from a given point?
A circle
What is the point from which all points are equidistant?
This is the center, or locus, of a set of points, such as a curve or circle.
What is the definition of ellipse in math terms?
It is the locus of a point such that the sum of its distance from two (distinct) fixed points is a constant. So, given two fixed points, F1 and F2, an ellipse is the locus of the point P such that PF1 + PF2 is a constant. That would be an ellipsoid, a 3 dimensional thing. The 2 distances have to be measured in a fixed (2 dimensional) plane.
Locus of all points in a plane equidistant from a given point?
A Circle.
What is the locus of all points that are a fixed distance from a given point?
triangle
What is the locus of points that are 10 centimeters from a given point?
The locus of points (or collection of all points) that are 10 centimeters from a given point would be a circle (of radius 10 cm) in two dimensions, and a sphere (of radius 10 cm) in three dimensions.
