If \( x^{3}-a x^{2}+b x-6 \) is exactly divisible by \( x^{2}-5 x \) \( +6 \), then \( \frac{a}{...
If \( x^{3}-a x^{2}+b x-6 \) is exactly divisible by \( x^{2}-5 x \) \( +6 \), then \( \frac{a}{b} \) is
(a) \( \frac{6}{11} \)
(b) \( \frac{-6}{11} \)
(c) \( \frac{1}{3} \)
(d) \( -\frac{1}{3} \)
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