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Locus of all points in a plane equidistant from a given point?
A 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 line is the locus of points which what?
A line is the locus of points such that the gradient (slope) between that point and one fixed point in the plane is a constant. Technically, that definition does not include a vertical line because its gradient is not defined! You could get around that this by requiring that either the gradient is a constant or, if it is undefined, then the inverse gradient (dx/dy) is constant.
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.
Locus of all points in a plane equidistant from a given point?
A Circle.
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.
What is the denifion of a circle?
I assume that you are asking about the definition of a circle. A circle is a locus of points in a plane that are at a constant distance from a fixed point.
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.
Although the locus of points idea can be used to define a straight line and circle more complex shapes such as parabolas must be defined a different way. True or False?
Certainly false for parabolae; a parabola is the locus of points in a plane which are equidistant from a point (the focus) and a line (the directrix) in that plane. It's also false for an ellipse, which is the locus of points in a plane where the sum of the distances from two other points in that plane (the foci) is constant. AND false for a hyperbola, which is the locus of points in a plane where the absolute value of the DIFFERENCE in the distance from two points in that plane (also the foci) is constant. Alternatively, a hyperbola is the locus of points in a plane where the ratio of the distance to one of the foci and to a line (the directrix) is constant (which is larger than 1; if it's exactly equal to 1, you get a parabola instead).All of these are only slightly more complicated than circles, and in fact they, alone with circles, are called "conic sections" because they all are formed by the intersection of a plane with a right circular conical surface.
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
A line is the locus of points which what?
A line is the locus of points such that the gradient (slope) between that point and one fixed point in the plane is a constant. Technically, that definition does not include a vertical line because its gradient is not defined! You could get around that this by requiring that either the gradient is a constant or, if it is undefined, then the inverse gradient (dx/dy) is constant.
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.
