9th Class
Mathematics
Geometry
Question Bank
Geometry
question_answer
Two non-intersecting circles, one lying inside another, are of radii a and b (a > b). The minimum distance between their circumference is c. The distance between their centres is
A)a - b
B)a - b + c
C)a + b - c
D)a - b - c
Correct Answer:
D
Solution :
Let A and B be the centres of two circles. Here \[AD=a,\,\,BC=b\] and \[CD=c.\] \[AB=AD-(BC+CD)\] \[=a-(b+c)=a-b-c\]