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Math Help - What is a Locus?

  1. #1
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    What is a Locus?

    What is a Locus in simple words?
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    A circle.
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    Quote Originally Posted by magentarita View Post
    What is a Locus in simple words?
    A locus is a set of points that satisfy a given condition.

    Suppose, for example, : Find the locus of point P that is 6 cm from point C.

    Now, see that,

    All the points that are 6 cm from C make a circle.

    these points lie on a circle with a radius of 6 cm.

    Please see diagram
    Attached Thumbnails Attached Thumbnails What is a Locus?-graph17.jpg  
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    Quote Originally Posted by magentarita View Post
    What is a Locus in simple words?
    See another example,

    Determine the locus of points equidistant from two points A and B

    Let us make two circles with centre A and B and equal radius of AM = BM

    so, point M is at equal distance from A and B.

    change the distance AM = BM and make another circles keeping same centres.

    so, the points of intersection of two circles give a line, which is locus (red dotted line in diagram).

    See diagram
    Attached Thumbnails Attached Thumbnails What is a Locus?-graph18.jpg  
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  5. #5
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    A locus is a set of points satisfying a certain condition.
    A locus is a path. The path is formed by a point which moves according to some rule.

    For e.g. If you want to find the locus of a point A lying 1 m away from a given point B, the locus is a circle of radius 1 m, with centre B. That's because A can lie 1 m away from B in any direction, and a circle is that path (locus) which fully describes where A can lie.

    I hope that helps.

    ILoveMaths07.
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  6. #6
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    thanks.........

    Quote Originally Posted by Shyam View Post
    A locus is a set of points that satisfy a given condition.

    Suppose, for example, : Find the locus of point P that is 6 cm from point C.

    Now, see that,

    All the points that are 6 cm from C make a circle.

    these points lie on a circle with a radius of 6 cm.

    Please see diagram
    Thank you for the definition and question with picture.
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  7. #7
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    wow........

    Quote Originally Posted by Shyam View Post
    See another example,

    Determine the locus of points equidistant from two points A and B

    Let us make two circles with centre A and B and equal radius of AM = BM

    so, point M is at equal distance from A and B.

    change the distance AM = BM and make another circles keeping same centres.

    so, the points of intersection of two circles give a line, which is locus (red dotted line in diagram).

    See diagram
    Thank you ever so much.
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  8. #8
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    great.........

    Quote Originally Posted by ILoveMaths07 View Post
    A locus is a set of points satisfying a certain condition.
    A locus is a path. The path is formed by a point which moves according to some rule.

    For e.g. If you want to find the locus of a point A lying 1 m away from a given point B, the locus is a circle of radius 1 m, with centre B. That's because A can lie 1 m away from B in any direction, and a circle is that path (locus) which fully describes where A can lie.

    I hope that helps.

    ILoveMaths07.
    I now understand it a bit more thanks to people like you.
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