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 Form 4 Mathematics Lessons on Loci

The locus of points at a given distance from a given straight line.

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Answer Text:
The Locus of points at a Given Distance from a given straight line.
In two Dimensions:
In two dimensions, the locus of points a cm from a fixed straight line is given by two lines on either side of the fixed line and parallel to it. Example 1 Draw a line MN and its locus which is 2cm from it.
In three Dimensions:
In three dimensions the locus of point ‘a’ centimeters from a line MN is a cylindrical shell of radius ‘a’ cm, with MN as the axis of rotation.


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