If \( p, q, r \) are +ve and are in \( A . P . \), the roots of quadratic equation \( p x^{2}+q ...

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If \( p, q, r \) are +ve and are in \( A . P . \), the roots of quadratic equation \( p x^{2}+q x+r=0 \) are all real for
(a) \( \left|\frac{r}{p}-7\right| \geq 4 \sqrt{3} \)
(b) \( \left|\frac{p}{r}-7\right| \geq 4 \sqrt{3} \)
(c) all \( p \) and \( r \)
(d) no \( p \) and \( r \)
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