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Recommended textbook solutionsAlgebra and Trigonometry5th EditionRobert F. Blitzer 10,851 solutions Trigonometry8th EditionCharles P. McKeague, Mark D. Turner 3,737 solutions Algebra and Trigonometry9th EditionMichael Sullivan 10,535 solutions Algebra and Trigonometry9th EditionMichael Sullivan 10,535 solutions In Mathematics we often say "the set of all points that ... ".
Example: A Circle is:"the set of all points on a plane that are a fixed distance from a central point". So, just a few points start to look like a circle, but when we collect ALL the points we will actually have a circle. Try drawing one yourself (move any point): images/geom-locus.js (Note: the points are drawn as dots so you can see them, SurfaceImagine this happening in 3D space: all the points that are a fixed distance from a center make a sphere! LocusThe idea of "the set of all points that ..." is used so much it has a name: Locus. A Locus is a set of points that share a property. So, a circle is "the locus of points on a plane that are a fixed distance from the center". Note: "Locus" usually means that the points make a continuous curve or surface. Example: An ellipse is the locus of points whose distance from two fixed points add up to a constant.So, no matter where we are on the ellipse, we can add up the distance to point "F" and to point "G" and it will always be the same result. (The points "F" and "G" are called the foci of the ellipse) The idea of "Locus" can be used to create some weird and wonderful shapes! 7922, 7923, 7924, 7925, 7926, 7927, 7928, 7929, 7930, 7931 The set of all points in a plane that lie the same distance from a single point in the plane.Which one is the answer (i) Collinear(ii) Angle(iii) Circle(iv) CoplanarSolution: The set of all points in a plane that lie the same distance from a single point in the plane is a circle. Therefore, option (iii) is the correct answer. From the above figure, we observe that for the different position of the point P, its distance from the fixed point O (centre) is the same. Collinear: Three or more points that lie on the same line are collinear points . Angle : In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. Coplanar : A set of points in space are coplanar if there exists a geometric plane that contains them all. Summary: The set of all points in a plane that lie the same distance from a single point in the plane is a circle.
+0 What is the definition of a circle?0 6298 1 +168What is the definition of a circle? A circle is the set of all points in a plane that are the same distance from a fixed point called the center. A circle is a set of all points that are the same distance form a fixed point called the center. A circle is the set of all points in a plane that are a given distance from a given line. A circle is the distance from a set of points to a fixed point called the center. Jazminfun0128182 Feb 28, 2018 0 users composing answers..1+0 Answers#1 +124676+1 A circle is the set of all points in a plane that are the same distance from a fixed point called the center. CPhill Feb 28, 2018 40 Online UsersTop Users+118142 Melody moderator +36455 ElectricPavlov +33279 Alan moderator +23218 geno3141 +14084 asinus moderator +4709 MathsGod1 +3953 Probolobo +2448 BuilderBoi +2426 GingerAle +1023 proyaop +676 StraightSticky TopicsSome guidelines for question askers. What is Happening 5 Again a number puzzle. Multiply in writing. Loads of fun printable number and logic puzzles ¤¤¤¤Welcome To Web2.0calc¤¤¤¤ How to display latex properly Feature Questions 1 - Started 8th May 19 How to upload a picture. If a question is ticked that does not mean you cannot continue it. Should you consider anything before you answer a question? Geometry Thread PUZZLES LaTex Coding https://www.desmos.com/calculator/bsh9ex1zxj Historical post! What is happening? Wrap #4 Great Questions to Learn From 2 Great Answers to Learn From Reference Material Information for new people. Which of the following is a set of all points in a plane at a given distance radius from a given point called the center?A circle is the set of all points in a plane at a given distance (called the radius ) from a given point (called the center.) A line segment connecting two points on the circle and going through the center is called a diameter of the circle.
Which of the following is the set of all points in a plane that are a given distance from a point group of answer choices angle circle line Ray?Circle - The set of all points in a plane that are a given distance from a point.
What is the set of all points in a plane that are at a fixed distance from fixed point in a plane?A circle is the set of points in a plane that are all the same distance from a fixed point in the plane. The fixed point is called the centre of the circle. The distance from the centre of the circle to the circle is called the radius of the circle.
Which of the following is the set of all points in the plane that are equidistant from a fixed point of a conic section?Definition: A parabola is the set of all points that are equidistant from a fixed line (directrix) and a fixed point (focus) not on the line.
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