The equation of a circle of radius 1 touching the circles \( x^{2}+y^{2}-2|x|=0 \) is (a) \( x^{...

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The equation of a circle of radius 1 touching the circles \( x^{2}+y^{2}-2|x|=0 \) is
(a) \( x^{2}+y^{2}+2 \sqrt{3} x-2=0 \)
(b) \( x^{2}+y^{2}-2 \sqrt{3} y+2=0 \)
(c) \( x^{2}+y^{2}+2 \sqrt{3} y+2=0 \)
(d) \( x^{2}+y^{2}+2 \sqrt{3} x+2=0 \)
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