Mathematics

AB is a line segment and P is a moving point that moves in such a way that it is always equidistant from AB. The locus of point P is the line which :

  1. is parallel to AB and through point P.

  2. is perpendicular to AB through point P.

  3. is perpendicular bisector of AB.

  4. passes through the mid-point of AB.

Locus

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Answer

Steps of construction :

  1. Draw a line segment AB.

  2. Draw lines l and m parallel to AB on either side.

AB is a line segment and P is a moving point that moves in such a way that it is always equidistant from AB. The locus of point P is the line which : Loci, Concise Mathematics Solutions ICSE Class 10.

We know that,

The locus of point which is equidistant from a particular line is a line parallel to it.

Hence, Option 1 is the correct option.

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