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The locus of the centres of the circles which touch `x^2+y^2=a^2` and `x^2+y^2=4ax, externally

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The locus of the centres of the circles which touch `x^2+y^2=a^2` and `x^2+y^2=4ax, externally
A. `12(x-a)^(2)-4y^(2)=3a^(2)`
B. `9(x-a)^(2)-5y^(2)=2a^(2)`
C. `8x^(2)-3(y-a)^(2)=9a^(2)`
D. none of these
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Correct Answer - A
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