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

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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
P is :

W
(a) \( \sqrt{\frac{b c}{a}} \)
(b) \( a c^{2} \)
(c) \( \frac{b}{a} \)
(d) \( \sqrt{\frac{c}{a}} \)
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