. Let a and b be the roots of equation px2 + qx + r = 0, p ¹ 0. If p, q, r are in A.P and 1 1 + a b = 4, then the value of | a – b| is:


Let $\alpha$ and $\beta$ be the roots of equation $\mathrm{px}^{2}+\mathrm{qx}+\mathrm{r}=0, \mathrm{p} \neq 0$

If $p, q, r$ are in A.P and $\frac{1}{\alpha}+\frac{1}{\beta}=4$, then the value of $|\alpha-\beta|$ is:

  1. $\frac{\sqrt{34}}{9}$

  2. $\frac{2 \sqrt{13}}{9}$

  3. $\frac{\sqrt{61}}{9}$

  4. $\frac{2 \sqrt{17}}{9}$

Correct Option: 2

JEE Main Previous Year 1 Question of JEE Main from Mathematics Sequences and Series chapter.
JEE Main Previous Year 2014


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