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A parabola y=a x^2+b x+c crosses the x-a...

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 pass through these two points. The length of a tangent from the origin to the circle is `sqrt((b c)/a)` (b) `a c^2` (c) `b/a` (d) `sqrt(c/a)`

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