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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 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 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.
Round figure whose surface is at all points equidistant from the center?
That would be a circle or a sphere. sphere.
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.
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.
Given three points in polar notation what are the polar coordinates of a point equidistant from the three given points and can this point be found without converting to Cartesian coordinates?
Technically, yes. But, the equations involved are complicated to the point that it would be a fraction of the difficulty of converting. Also, the equations are essentially the Cartesian equations with the conversions built in, so you might as well convert them to start with. However, if you insist on not converting, write out the entire process with all 4 points of interest in Cartesian coordinates. From beginning to end. Find the final equations needed and insert the conversion factors and simplify from there. To the best of my knowledge (and I did quite a bit of digging) there isn't a simply way of doing it. - Sorry.
What describes as all the points on a plane that are the same distance from a single point called a center?
A circle or a sphere would fit the given description.
