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NDA 2019
Exam
NDA
Year
2019
Subject
Mathematics
Chapter
Quadratic Equation

NDA 2019 · Mathematics · Quadratic Equation

The equation px^2+qx+r=0 (where p, q, r , all are positive) has...

The equation px2+qx+r=0\mathrm{px}^2+\mathrm{qx}+\mathrm{r}=0 (where p,q,r\mathrm{p}, \mathrm{q}, \mathrm{r}, all are positive) has distinct real roots a and b. Which one of the following is correct?

Options

  1. Aa>0,b>0\mathrm{a} > 0, \mathrm{ b} > 0
  2. Ba <0< 0, b <0< 0
  3. Ca >0> 0, b <0< 0
  4. Da <0< 0, b >0> 0

Correct answer

B. a <0< 0, b <0< 0

Step-by-step solution

px2+qx+r=0,(p,q,r\mathrm{px}^2+\mathrm{qx}+\mathrm{r}=0,(\mathrm{p}, \mathrm{q}, \mathrm{r} are positive )) Whenever the coefficients and constant are positive in quadratic equation, its roots are always negative. ∴a<0,b<0\therefore \mathrm{a} < 0, \mathrm{ b} < 0
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