If \( y=2 x \) is a chord of the circle \( x^{2}+y^{2}-10 x=0 \), find the equation of the circl...

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If \( y=2 x \) is a chord of the circle \( x^{2}+y^{2}-10 x=0 \), find the equation of the circle with this chord as diameter. Hence, find the length of the chord intercepted.
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