Question

If $k_1$ and $k_2$ lies outside the roots $\alpha$ and $\beta$ of a quadratic Equation $f\left(x\right)$ and $a<0$, then

• A. $f\left(k_1\right)>0$ and $f\left(k_2\right)>0$
• B. $f\left(k_1\right)=0,f\left(k_2\right)=0$
• C. $f\left(k_1\right)<0$ and $f\left(k_2\right)<0$
• D. None of the above

Answer 1

The correct option is C $f\left(k_1\right)<0$ and $f\left(k_2\right)<0$

$a<0$

$\therefore f\left(k_1\right)<0andf\left(k_2\right)<0$