Question

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 ______.

Options

• is parallel to AB and through point P.

• is perpendicular to AB through point P.

• is perpendicular bisector of AB.

• passes through the mid-point of AB.

Answer 1

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 is parallel to AB and through point P.

Explanation:

Steps of construction:

1. Draw a line segment AB.
2. Draw lines l and m parallel to AB on either side.

We know that,

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