If the roots of the quadratic equation $a{x}^2+bx+c=0$ are imaginary then for all values of $a, b, c$ and $x\in R$, the expression $a^2{x}^2+abx+ac$ is

Graph of the function $f\left(x\right)=A{x}^2-BX+C$, where
$A=(\sec \theta -\cos \theta )(cosec\theta -\sin \theta )(\tan \theta +\cot \theta )$ 

$\mathrm{B}=(\sin \theta +cosec\theta {)}^2+(\cos \theta +\sec \theta {)}^2-\left({\tan }^2\theta +{\cot }^2\theta \right)\&$

$C=12$ is represented by