JEE Mains · Maths · STD 11 - 4.2 Quadratic equations and inequations
Let \(\mathrm{S}\) be the set of positive integral values of \(a\) for which \(\frac{\mathrm{ax}^2+2(\mathrm{a}+1) \mathrm{x}+9 \mathrm{a}+4}{\mathrm{x}^2-8 \mathrm{x}+32}<0, \forall \mathrm{x} \in \mathbb{R}\). Then, the number of elements in \(\mathrm{S}\) is :
- A \(1\)
- B \(0\)
- C \(\infty\)
- D \(3\)
Answer & Solution
Correct Answer
(B) \(0\)
Step-by-step Solution
Detailed explanation
\( a x^2+2(a+1) x+9 a+4<0 \quad \forall x \in R \) \( \therefore a<0\)
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