Q33 / 100 · BITSAT 2024 (Memory Based Paper 3) · Mathematics

Roots of the equation $x^2+b x-c=0(b, c\gt0)$ are

  • A
    both positive
  • B
    both negative
  • Correct answer
    C
    of opposite sign
  • D
    None of the above

Solution

We know that, if roots are of same sign $\Rightarrow$ Product of root is + ve if roots are of opposite sign $\Rightarrow$ Product of roots is -ve Here, $x^2+b x-c=0$ (b, $c\gt0$ ) Product of roots $=\frac{-c}{1}=-\mathrm{ve}$ $\therefore$ Roots are of opposite sign.

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

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