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NDA 2018
Exam
NDA
Year
2018
Subject
Mathematics
Chapter
Quadratic Equation

NDA 2018 · Mathematics · Quadratic Equation

The ration of roots of the equations a x^2+b x+c=0 and p x^2+q...

The ration of roots of the equations ax2+bx+c=0a x^2+b x+c=0 and px2+qx+r=0p x^2+q x+r=0 are equal. If D1D_1 and D2D_2 are respective discriminates, then what is D1D2\frac{D_1}{D_2} equal to?

Options

  1. Aa2p2\frac{\mathrm{a}^2}{\mathrm{p}^2}
  2. Bb2q2\frac{b^2}{q^2}
  3. Cc2r2\frac{\mathrm{c}^2}{\mathrm{r}^2}
  4. DNone of these

Correct answer

B. b2q2\frac{b^2}{q^2}

Step-by-step solution

D1D2=( ratio of coefficient of x)2=b2q2\frac{\mathrm{D}_1}{\mathrm{D}_2}=(\text{ ratio of coefficient of } x)^2=\frac{b^2}{q^2}
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