Given two languages $L_1$ and $L_2.L_1$ is regular and $L_{2}sub{L}_1$

Choose the correct option which is true for the languages:

$($a$)L_2$ may or may not be regular

$($b$)L_2$ will always be non$-$regular

$($c$)L_2$ will always be regular since all the elements of $L_2$ inherits the property from $L_1$

$($d$)L_2$ will always be regular because there is a DFA $D$ for $L_1$ and $D$ accepts all the elements of

$L_2$