The set of values of \( p \) for which 6 lies between the roots of the equation \( x^{2}+2(p-3) ...

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The set of values of \( p \) for which 6 lies between the roots of the equation \( x^{2}+2(p-3) x+9=0 \) is
(a) \( \left(\frac{3}{4}, \infty\right) \)
(b) \( \left(-\infty,-\frac{3}{4}\right) \)
(c) \( \left(-\frac{3}{4}, \frac{3}{4}\right) \)
(d) \( \left[-\frac{3}{4}, \frac{3}{4}\right] \)
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