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

If two circles `x^(2)+y^(2)+c^(2)=2ax` and `x^(2)+y^(2)+c^(2)-2by=0` touch each other externally , then prove that `(1)/(a^(2))+(1)/(b^(2))=(1)/(c^(2))`

A

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

B

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

C

`(1)/(a^(2))+(1)/(b^(2))+(1)/(c^(2))=0`

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
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