Q199 / 270 · NDA 2018 (Phase 2) · Mathematics

The ration of roots of the equations $a x^2+b x+c=0$ and $p x^2+q x+r=0$ are equal. If $D_1$ and $D_2$ are respective discriminates, then what is $\frac{D_1}{D_2}$ equal to?

  • A
    $\frac{\mathrm{a}^2}{\mathrm{p}^2}$
  • Correct answer
    B
    $\frac{b^2}{q^2}$
  • C
    $\frac{\mathrm{c}^2}{\mathrm{r}^2}$
  • D
    None of these

Solution

$\frac{\mathrm{D}_1}{\mathrm{D}_2}=(\text { ratio of coefficient of } x)^2=\frac{b^2}{q^2}$

Hence, the correct answer is option: 'B'.

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