Question

Which of the following is a set of concentric circles?

A)

B)

C)
 

D)

Answer 1

Hint: In order to solve this question, we should know about the concept of concentric circles as well as its properties which will help us to find the answer to this question.

Complete step-by-step answer:
In this question, we have been asked to find the set of concentric circles from the given options. Now, we know that concentric circles or concentric polygons are those which share the same center. Or we can say that concentric circles are those which have a constant difference between both the boundaries. And another property is that they are symmetric around the center.
So, we can say that concentric circles will look something like the figure shown below.

Now, if we consider all the given options in the question one by one, then we can see that the option (c) and option (d) looks similar to the above figure. Now, when we closely observe these two options again, we see that in option (c), the inner circle’s center does not coincide with the center of the bigger circle, it is slightly away from the center of the bigger circle. Now, if we consider option (d), we can see that both the circles have the same center.
So, we can say that option (d) represents concentric circles. Hence, option (d) is the correct answer.

Note: While solving this question, the possible mistake that one can make is choosing option (c) as the correct answer, which is wrong because the distance between the boundaries of both the circles are not constant which contradicts the property of concentric circles. Also, some students may choose option (b) as the answer, thinking that concentric circles means overlapping circles and this is not correct. So, the students must be clear about the concept of concentric circles.