Circle(s) touching \( x \)-axis at a distance 3 from the origin and...

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Circle(s) touching \( x \)-axis at a distance 3 from the origin and having an intercept of length \( 2 \sqrt{7} \) on \( y \)-axis is(are) :
[IIT-JEE (Advance) 2013]
\( \mathrm{P} \)
(a) \( x^{2}+y^{2}-6 x+8 y+9=0 \)
(b) \( x^{2}+y^{2}-6 x+7 y+9=0 \)
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(c) \( x^{2}+y^{2}-6 x-8 y+9=0 \)
(d) \( x^{2}+y^{2}-6 x-7 y+9=0 \)
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