Let $S$ be the set of positive integral values of a for which $\frac{a^{2}+2(a+1) x+9 a+4}{x^{2}-8 \mathrm{x}+32}<0, \forall \mathbf{x} \in \mathbb{R}$.
Then, the number of elements in $\mathrm{S}$ is :
(1) 1
(2) 0
(3) $\infty$
(4) 3
$a x^{2}+2(a+1) x+9 a+4<0 \forall x \in R$
$\therefore a<0$
Welcome to SATHEE !
Select from 'Menu' to explore our services, or ask SATHEE to get started. Let's embark on this journey of growth together! 🌐📚🚀🎓
I'm relatively new and can sometimes make mistakes.
If you notice any error, such as an incorrect solution, please use the thumbs down icon to aid my learning.
To begin your journey now, click on "I understand".
