Circle And System Of Circles Question 275
Question: Radical axis of the circles $ 3x^{2}+3y^{2}-7x+8y+11=0 $ and $ x^{2}+y^{2}-3x-4y+5=0 $ is
[RPET 2001]
Options:
A) $ x+10y+2=0 $
B) $ x+10y-2=0 $
C) $ x+10y+8=0 $
D) $ x+10y-8=0 $
Show Answer
Answer:
Correct Answer: B
Solution:
Radical axis of given circles is $ ( -\frac{7}{3}+3 ),x+( \frac{8}{3}+4 ),y+\frac{11}{3}-5=0 $
$ \Rightarrow $ $ 2x+20y-4=0 $
$ \Rightarrow $ $ x+10y-2=0 $ .