Question

The locus of a point which is equidistant from two non-parallel lines AB and CD is ______.

Options

• perpendicular to AB.

• perpendicular to CD.

• bisector of angle between AB and CD.

• perpendicular bisector of CD.

Answer 1

The locus of a point which is equidistant from two non-parallel lines AB and CD is bisector of angle between AB and CD. 

Explanation:

Since, AB and CD are two non-parallel lines so they will intersect at a point.

We know that,

The locus of a point equidistant from two intersecting lines is the bisector of angles between the lines.