If p, q, r are positive numbers and are in A.P., then the roots of quadratic equation p x…

Mathematics · JEE Main · NTA ExamsComplex Numbers and Quadratic Equations

If p, q, r are positive numbers and are in A.P., then the roots of quadratic equation p x2 + q x + r = 0 are real for
  1. \(\left|\frac{r}{p}-7\right| \geq 4 \sqrt{3}\)
  2. \(\left|\frac{P}{r}-7\right|<4 \sqrt{3}\)
  3. All p and r
  4. No p and r

Answer

(A) | r p -7 | 4 3

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