The diagram shows three circles with a common center, Q. The radius of the smallest circle is 6 cm. The shaded region in diagram corresponds to the locus of points that are less than 6 cm from Q. So the correct option is A.
The diagram shows three circles with a common center, Q. The radius of the smallest circle is 6 cm. The shaded region in diagram corresponds to the locus of points that are less than 6 cm from Q.
* The smallest circle represents the set of all points that are 6 cm away from Q.
* Any point inside the smallest circle is less than 6 cm from Q.
* The shaded region encompasses the smallest circle and extends outwards.
* Therefore, any point within the shaded region must be less than 6 cm from Q.
Therefore, diagram shows the locus of points that are less than 6 cm from Q.
The other diagrams do not show the correct locus:
* Diagram shows the region that is closer to P than Q. This is not the same as being less than 6 cm from Q.
* Diagram shows the region that is more than 6 cm from P. This is also not the same as being less than 6 cm from Q.