9th Class
Mathematics
Circles
Question Bank
Circles
question_answer
\[{{C}_{1}}\]is a circle of radius 6 cm,\[{{C}_{2}}\]is a circle I of radius 8 cm. Jyoti wants the two circles to touch tangentially. She knows that there are two possibilities for the distance between their centres. What are these two distances?
A) 3 cm and 4 cm
B) 2 cm and 8 cm
C) 2 cm and 14 cm
D) 6 cm and 8 cm
Correct Answer:
C
Solution :
Two circles can touch each other as shown below. For case I, distance between center is \[(8-6)=2\,cm\] For case II, distance between centers is \[(8+6)=14\,cm\]