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If circles x^(2)+y^(2)+2ax+ c= 0 and x^(...

If circles `x^(2)+y^(2)+2ax+ c= 0 and x^(2)+y^(2)+2by+c= 0` touch each other, then

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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