Question

In △ABC, point P moves such that it remains at a fixed distance (i.e. radius) of 2.8 cm from vertex B. The locus of point P is ______.

Options

• bisector of angle ABC.

• a line parallel to BC and at a distance of 2.8 cm from it.

• circle with centre at point B and radius = 2.8 cm.

• perpendicular bisector of BC.

Answer 1

In △ABC, point P moves such that it remains at a fixed distance (i.e. radius) of 2.8 cm from vertex B. The locus of point P is circle with centre at point B and radius = 2.8 cm.

Explanation:

We know that,

Locus of a point, in a plane and at a fixed distance from a given fixed point, is the circumference of the circle with the given fixed point as center and given fixed distance as radius.

∴ The locus of point P is a circle with center at point B and radius = 2.8 cm.