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)(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((bc)/a)`

B

`ac^2`

C

`b/a`

D

`sqrt(c/a)`

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The correct Answer is:

D

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