Question

Any given statement in the List I can have correct matching with one or more statement(s) in the List II. Match the entries in the List I with entries in the List II.

Answer 1

In A
$\frac{\alpha }{1+\alpha }$ and $\frac{\beta }{1+\beta }$ satisfy the given equation

In B
$a{x}^2+b=0$ is real
then, D $=-4ab$
then $a<0,b>0$ or $a>0,b<0$

In C
$4x^2-4x+1=0$
D $=16-16=0$
Hence, roots are real and equal

In D
$(x^2-(a+b)x+ab)+(x^2-(b+c)x+bc)+(x^2-(c+a)x+ca)=0$
D $=2(a+b+c){)}^2-\left(4\right)\left(3\right)(ab+bc+ca)>0$
Hence, roots are real