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The circles ax^(2)+ay^(2)+2g(1)x+2f(1)y+...

The circles `ax^(2)+ay^(2)+2g_(1)x+2f_(1)y+c_(1)=0` and `bx^(2)+by^(2)+2g_(2)x+2f_(2)y+c_(2)=0` (`a ne 0` and `b ne 0`) cut orthogonally if

A

`g_(1)g_(2)+f_(1)f_(2)=ac_(1)+bc_(2)`

B

`2(g_(1)g_(2)+f_(1)f_(2))=bc_(1)+ac_(2)`

C

`bg_(1)g_(2)+af_(1)f_(2)=bc_(1)+ac_(2)`

D

`g_(1)g_(2)+f_(1)f_(2)=c_(1)+c_(2)`

Text Solution

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The correct Answer is:
B
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