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The circleS x^(2)+y^(2)+2 a x+c^2=0 and...

The circleS `x^(2)+y^(2)+2 a x+c^2=0` and `x^(2)+y^(2)+2 b y+c^2=0` touch if

A

`(1)/(a)+(1)/(b)=(1)/(c)`

B

`(1)/(a^(2))+(1)/(b^(2))=(1)/(c)`

C

`(1)/(a^(2))+(1)/(b^(2))=(1)/(c^(2))`

D

`(1)/(a^(2))-(1)/(dot(b)^(2))=(1)/(c)`

Text Solution

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The correct Answer is:
B
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