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All the points equidistant to a given point would form?
A circle.
Where do all the points in space equidistant from a given point lie?
I'm not sure, but I would imagine they would be 360O around the point and only in the same plane.
What is a space figure who set of all points on the surface are equidistant from the center?
A sphere would fit the given description.
How do you place four points equidistant from each other?
To place four points equidistant from each other, you would need to arrange them in the shape of a perfect square. This means that each point would be the same distance away from the other three points, forming equal sides of the square. The distance between each point can be calculated using the Pythagorean theorem if the coordinates of the points are known.
Are the directrix and focus different distances from a given point on a parabola?
One definition of a parabola is the set of points that are equidistant from a given line called the directrix and a given point called the focus. So, no. The distances are not different, they are the same. The distance between the directrix and a given point on the parabola will always be the same as the distance between that same point on the parabola and the focus. Any point where those two distances are equal would be on the parabola somewhere and all the points where those two distances are different would not be on the parabola. Note that the distance from a point to the directrix is definied as the perpendicular distance (also known as the minimum distance).
All the points equidistant to a given point would form?
A circle.
Where do all the points in space equidistant from a given point lie?
I'm not sure, but I would imagine they would be 360O around the point and only in the same plane.
What is a space figure who set of all points on the surface are equidistant from the center?
A sphere would fit the given description.
How do you place four points equidistant from each other?
To place four points equidistant from each other, you would need to arrange them in the shape of a perfect square. This means that each point would be the same distance away from the other three points, forming equal sides of the square. The distance between each point can be calculated using the Pythagorean theorem if the coordinates of the points are known.
Are the directrix and focus different distances from a given point on a parabola?
One definition of a parabola is the set of points that are equidistant from a given line called the directrix and a given point called the focus. So, no. The distances are not different, they are the same. The distance between the directrix and a given point on the parabola will always be the same as the distance between that same point on the parabola and the focus. Any point where those two distances are equal would be on the parabola somewhere and all the points where those two distances are different would not be on the parabola. Note that the distance from a point to the directrix is definied as the perpendicular distance (also known as the minimum distance).
What is the set of all points a given distance from a fixed point?
The set of all points a given distance from a center point is a circle. The given distance is the radius, and the given point is the center. In 3 dimensional space, the set would be the surface of a sphere.
What is a round figure that surfaces at all points of equidistant from the center?
It depends on how many dimensions you are asking about. If you are talking about a 2-dimensional figure then it would be a circle. The definition of a circle is the collection of points that are equidistant from the center. If you are talking about a 3-dimensional figure, then it would be a sphere. The definition of a sphere is the collection of points in three dimensions that are equidistant from the center.
What would be a 3 dimensional version of a circle?
A three-dimensional version of a circle is a sphere. While a circle is a two-dimensional shape defined by all the points equidistant from a center point in a plane, a sphere extends this concept into three dimensions, comprising all points equidistant from a central point in space. Just as a circle has a radius, so does a sphere, which determines its size.
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.
How many points are there that are equidistant points a and b and also 2in from the line passing through a and b?
To find the points that are equidistant from points A and B, you would first determine the perpendicular bisector of the line segment AB, which is a line that is equidistant from both points. For the points that are also 2 units from the line passing through A and B, there will be two lines parallel to the perpendicular bisector, each located 2 units away. Therefore, there are exactly two points that satisfy both conditions.
Round figure whose surface is at all points equidistant from the center?
That would be a circle or a sphere. sphere.
The distance between points P and Q is 8 units How many points are equidistant from P and Q and also 3 units from P?
zero Half the distance between them would be 4 units; so 3 units from P would not be close enough to Q to be equidistant.
