Question

A point P moves in such a way that it is at a distance less than or equal to 5 cm from a fixed point O. The locus of point P is ______.

Options

• a circle with radius 5 cm.

• a circle with OP as radius.

• a circle with diameter of 10 cm.

• a circle of radius 5 cm (including circumference of the circle and inside of it) and the fixed point O as its centre.

Answer 1

A point P moves in such a way that it is at a distance less than or equal to 5 cm from a fixed point O. The locus of point P is a circle of radius 5 cm (including circumference of the circle and inside of it) and the fixed point O as its centre.

Explanation:

Steps of construction:

1. Draw a circle of radius 5 cm and center O.

From figure,

Any point on the circumference f the circle is at a distance 5 cm and any point inside the circle will be less than 5 cm.