Matrix Matching :

Let $\alpha ,\beta$ are roots of  $a{x}^2+bx+c=0,a\ne 0$

Option (A):  As per properties $a,b,c$  have same sign then both roots are $-ve$

Option (B): if $a=c$, then both roots are reciprocal to each other $\Rightarrow \alpha \beta =1$

Option (C): sum of the co efficient are equal to zero, then the roots are $1,\frac{c}{a}$

Option (D): if $a+c=b$, then the roots are $-1,\frac{-c}{a}$