Circle And System Of Circles Question 241
Question: The two circles $ x^{2}+y^{2}-2x-3=0 $ and $ x^{2}+y^{2}-4x-6y-8=0 $ are such that
[MNR 1995]
Options:
A) They touch each other
B) They intersect each other
C) One lies inside the other
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
$ r_1+r_2=2+\sqrt{21} $ , $ C_1C_2=\sqrt{1^{2}+3^{2}}=\sqrt{10} $
Obviously $ r_1+r_2>C_1C_2 $ .
Hence circles cut each other.
BETA
