The circles whose equations are : x^2+y^...

The circles whose equations are : `x^2+y^2+c^2=2ax` and `x^2+y^2+c^2-2by=0` will touch each other externally if:

A

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

B

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

C

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

D

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

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The correct Answer is:

C

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