Let S(1): x^(2)+y^(2)=9 and S(2) : (x-2)...

Let `S_(1): x^(2)+y^(2)=9 and S_(2) : (x-2)^(2)+y^(2)=1`. Then the locus of centre of a variable circle S which touches `S_1` internally and `S_2` externally always passes through the points:

A

`(2, pm 3/2)`

B

`(0, pm sqrt3)`

C

`(1, pm 2)`

D

`(1/2, pm sqrt5/2)`

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