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 \[(8+6)=14\,cm\]