Let \( \alpha \) and \( \beta \) be the roots of \( a x^{2}+b x+c=0 \), \[ \lim _{x \rightarrow ...

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Let \( \alpha \) and \( \beta \) be the roots of \( a x^{2}+b x+c=0 \),
\[
\lim _{x \rightarrow a} \frac{1-\cos \left(a x^{2}+b x+c\right)}{(x-a)^{2}}
\]
(A) 0
(B) \( \frac{1}{2}(\alpha-\beta)^{2} \)
(C) \( -\frac{a^{2}}{2}(\alpha-\beta)^{2} \)
(D) \( \frac{a^{2}}{2}(\alpha-\beta)^{2} \)
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