Which of the following is the set of all points in a plane that are a given distance from a point?

Recommended textbook solutions

Which of the following is the set of all points in a plane that are a given distance from a point?

Algebra and Trigonometry

5th EditionRobert F. Blitzer

10,851 solutions

Which of the following is the set of all points in a plane that are a given distance from a point?

Trigonometry

8th EditionCharles P. McKeague, Mark D. Turner

3,737 solutions

Which of the following is the set of all points in a plane that are a given distance from a point?

Algebra and Trigonometry

9th EditionMichael Sullivan

10,535 solutions

Which of the following is the set of all points in a plane that are a given distance from a point?

Algebra and Trigonometry

9th EditionMichael Sullivan

10,535 solutions

In Mathematics we often say "the set of all points that ... ".
What does it mean?


Points can make a line

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,
but they really should have no size at all)

Which of the following is the set of all points in a plane that are a given distance from a point?

Surface

Imagine this happening in 3D space: all the points that are a fixed distance from a center make a sphere!

Locus

The 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) Coplanar

Solution:

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.

Which of the following is the set of all points in a plane that are a given distance from a point?

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.

Which of the following is the set of all points in a plane that are a given distance from a point?

  • Register
  • Username

    Password

    forgot your password?

  •  Home
  •  Forum+0
  •  Formulary
    • Maths
  •  Help
    • Complex Numbers
    • Integral Calculus
    • Differential Calculus
    • Equations
    • Graphs
    • Linear Algebra
    • Number theory
    • Percent
    • Standard Functions
    • Statistics
    • Trigonometry
    • Unit Conversion
    • Units
  •  About
    • Imprint
    • Privacy Policy
    • Terms of Service
    • Credits
    • Google+
    • Facebook
    • Contact Email
  •  

+0  

 What is the definition of a circle?

0

6298

1

Which of the following is the set of all points in a plane that are a given distance from a point?
+168 

What 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

    Which of the following is the set of all points in a plane that are a given distance from a point?
    +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.

    Which of the following is the set of all points in a plane that are a given distance from a point?
     
    Which of the following is the set of all points in a plane that are a given distance from a point?
     
    Which of the following is the set of all points in a plane that are a given distance from a point?

    CPhill Feb 28, 2018


    40 Online Users

    Which of the following is the set of all points in a plane that are a given distance from a point?

    Which of the following is the set of all points in a plane that are a given distance from a point?

    Which of the following is the set of all points in a plane that are a given distance from a point?

    Top Users

    Which of the following is the set of all points in a plane that are a given distance from a point?
    +118142 Melody moderator

    Which of the following is the set of all points in a plane that are a given distance from a point?
    +36455 ElectricPavlov

    Which of the following is the set of all points in a plane that are a given distance from a point?
    +33279 Alan moderator

    Which of the following is the set of all points in a plane that are a given distance from a point?
    +23218 geno3141

    Which of the following is the set of all points in a plane that are a given distance from a point?
    +14084 asinus moderator

    Which of the following is the set of all points in a plane that are a given distance from a point?
    +4709 MathsGod1

    Which of the following is the set of all points in a plane that are a given distance from a point?
    +3953 Probolobo

    Which of the following is the set of all points in a plane that are a given distance from a point?
    +2448 BuilderBoi

    Which of the following is the set of all points in a plane that are a given distance from a point?
    +2426 GingerAle

    Which of the following is the set of all points in a plane that are a given distance from a point?
    +1023 proyaop

    Which of the following is the set of all points in a plane that are a given distance from a point?
    +676 Straight

    Sticky Topics

    Some 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.