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

The circles whose equations are `x^2+y^2+c^2=2ax` and `x^2+y^2+c^2-2by=0` will touch one another 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`

Text Solution

Verified by Experts

The correct Answer is:
C
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