question_answer

Two non-intersecting circles, one lying inside another, are of diameters a and b, respectively. The minimum distance between their circumferences is c. The distance between their centres is:

A)  \[a-b-c\]         

B)           \[a+b-c\]

C)  \[\frac{1}{2}\,\left( a-b-c \right)\]      

D)           \[\frac{1}{2}\,(a-b)-c\]

Correct Answer: D

Solution :

     We have, OP = a/2, RQ = b/2 and PR = c