Question
Let $\mathrm{S}$ be the set of positive integral values of $a$ for which $\frac{a x^2+2(a+1) x+9 a+4}{x^2-8 x+32} < 0, \forall x \in \mathbb{R}$. Then, the number of elements in $\mathrm{S}$ is :
Let $\mathrm{S}$ be the set of positive integral values of $a$ for which $\frac{a x^2+2(a+1) x+9 a+4}{x^2-8 x+32} < 0, \forall x \in \mathbb{R}$. Then, the number of elements in $\mathrm{S}$ is :