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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.

Q: What is the locus of points that are 10 centimeters from a given point?

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parabola

Given a straight line (a directrix) and a point (the focus) which is not on that line, a parabola is locus of all points whose distance form the directrix is the same as its distance from the focus.

A sphere is a solid bounded by the set of all points at a given distance from a given point.

In three dimensions, the solid defined as being bound by the set of points at a given distance form a point is a sphere. In two dimensions, the figure defined as being bound by the set of points at a given distance from a point is a circle. In one dimension, a line segment is bound by the two points at a given distance from a point.

Every point equidistant from (4, 1) and (10, 1) lies on the line [ x = 7 ],and that's the equation.

Related questions

A circle

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

triangle

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

That's a circle, centered at 'a', with a radius of 2 cm.

The locus of all points that are a given distance from a given point of origin is a circle.To draw this, use a compass set to 2in and centered on the point of origin. Graph paper is recommended.

True

You can define a circle as the locus (set) of all points equidistant from a given point.

No. A line is the locus of all points located between any two points.

circle

The locus point is the perpendicular bisector of AB. The locus point is the perpendicular bisector of AB.