Circle And System Of Circles Question 17
Question: The two circles $ x^{2}+y^{2}-4y=0 $ and $ x^{2}+y^{2}-8y=0 $
[BIT Ranchi 1985]
Options:
A) Touch each other internally
B) Touch each other externally
C) Do not touch each other
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
$ r_1=2 $ ; $ r_2=4 $
$ C_1C_2=2 $
$ \because \ r_2-r_1=C_1C_2 $
$ \therefore $ Circle touches internally.