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Quadratic Equation and Inequalities question

2024 · 31 Jan · Shift 1 · Q33
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  5. /2024 · 31 Jan · Shift 1 · Q33

Quadratic Equation and Inequalities question

2024 · 31 Jan · Shift 1 · Q33

JEE MainMathematicsQuadratic Equation and InequalitiesMCQ+4 / −1
Let S\mathrm{S}S be the set of positive integral values of aaa for which ax2+2(a+1)x+9a+4x2−8x+32<0,∀x∈R\frac{a x^2+2(a+1) x+9 a+4}{x^2-8 x+32} \lt 0, \forall x \in \mathbb{R}x2−8x+32ax2+2(a+1)x+9a+4​<0,∀x∈R. Then, the number of elements in S\mathrm{S}S is :
  1. A
    0
  2. B
    ∞\infty∞
  3. C
    3
  4. D
    1
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