Question

If a$x^2+bx+c=0,a,b,cϵR$ , has no real root, then

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

$f\left(x\right)=a{x}^2+bx+c=0$ has no real root $\Rightarrow$ f(x) has same sign for all x $ϵ$ R

$\Rightarrow f\left(0\right)f\left(1\right)>0$ $\Rightarrow c(a+b+c)>0$