The equation of the circle with the chord \( y=2 x \) of the circle \( x^{2}+y^{2}-10 x=0 \) as ...

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The equation of the circle with the chord \( y=2 x \) of the circle \( x^{2}+y^{2}-10 x=0 \) as its diameter is
(a) \( x^{2}+y^{2}-2 x-4 y-5=0 \)
(b) \( x^{2}+y^{2}=2 x+4 y \)
(c) \( x^{2}+y^{2}=4 x+2 y \)
(d) none of these
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