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

B

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

C

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

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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