Let $S$ be the set of postive integral values of $a$ for which $\frac{a x^2+2(a+1) x+9 a+4}{x^2-8 x+32}

Question

Let $S$ be the set of postive integral values of $a$ for which $\frac{a x^2+2(a+1) x+9 a+4}{x^2-8 x+32}<0, \forall x \in R$. Then, the number of elements in $S$ is : [JEE Main 2024, 31 Jan (Shift 1)]

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Let \(S\) be the set of postive integral values of \(a\) for which \(\frac{a x^2+2(a+1) x+9 a+4}{x^2-8 x+32}<0, \fora…

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Let \(S\) be the set of postive integral values of \(a\) for which \(\frac{a x^2+2(a+1) x+9 a+4}{x^2-8 x+32}&lt;0, \fora…

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Let \(S\) be the set of postive integral values of \(a\) for which \(\frac{a x^2+2(a+1) x+9 a+4}{x^2-8 x+32}<0, \fora…