Circle And System Of Circles Question 256
Question: Circles $ {{(x+a)}^{2}}+{{(y+b)}^{2}}=a^{2} $ and $ {{(x+\alpha )}^{2}} $ $ +{{(y+\beta )}^{2}}= $ $ {{\beta }^{2}} $ cut orthogonally, if
Options:
A) $ a\alpha +b\beta =b^{2}+{{\alpha }^{2}} $
B) $ 2(a\alpha +b\beta )=b^{2}+{{\alpha }^{2}} $
C) $ a\alpha +b\beta =a^{2}+b^{2} $
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
Apply $ {{(C_1C_2)}^{2}}=r_1^{2}+r_2^{2} $ or $ 2g_1g_2+2f_1f_2=c_1+c_2 $ .
BETA
