A parabola \( y=a x^{2}+b x+c \) crosses the \( x \)-axis at \( (\alpha, 0) \) and \( (\beta, 0)...

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A parabola \( y=a x^{2}+b x+c \) crosses the \( x \)-axis at \( (\alpha, 0) \) and \( (\beta, 0) \) both to the right of the origin. A circle also passes through these two points. The length of a tangent from the origin to the circle is
(A) \( \sqrt{b c / a} \)
(B) \( a c^{2} \)
(C) bla
(D) \( \sqrt{c / a} \)
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