Circle And System Of Circles Question 282
Question: For the given circles $ x^{2}+y^{2}-6x-2y+1=0 $ and $ x^{2}+y^{2}+2x-8y+13=0 $ , which of the following is true
[MP PET 1989]
Options:
A) One circle lies inside the other
B) One circle lies completely outside the other
C) Two circle intersect in two points
D) They touch each other
Show Answer
Answer:
Correct Answer: D
Solution:
$ C_1=(3,\ 1),\ C_2(-1,\ 4),\ R_1=3,\ R_2=2 $
$ C_1C_2=\sqrt{16+9}=5,\ R_1+R_2=C_1C_2 $
Hence circles touch externally.
BETA
