1.

If \[p,\ q,\ r\] are in A.P. and are positive, the roots of the quadratic equation \[p{{x}^{2}}+qx+r=0\] are all real for [IIT 1995]

A. \[\left| \,\frac{r}{p}-7\  \right|\ \ge 4\sqrt{3}\]
B. \[\left| \ \frac{p}{r}-7\  \right|\ <4\sqrt{3}\]
C. All \[p\]and \[r\]
D. No \[p\] and \[r\]
Answer» B. \[\left| \ \frac{p}{r}-7\  \right|\ <4\sqrt{3}\]


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