Circle And System Of Circles Question 239

Question: Two circles $ S_1=x^{2}+y^{2}+2g_1x+2f_1y+c_1=0 $ and $ S_2=x^{2}+y^{2}+2g_2x+2f_2y+c_2=0 $ cut each other orthogonally, then

[RPET 1995]

Options:

A) $ 2g_1g_2+2f_1f_2=c_1+c_2 $

B) $ 2g_1g_2-2f_1f_2=c_1+c_2 $

C) $ 2g_1g_2+2f_1f_2=c_1-c_2 $

D) $ 2g_1g_2-2f_1f_2=c_1-c_2 $

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Answer:

Correct Answer: A

Solution:

It is a fundamental concept.