The set of all values of the parameters a for which the points of local minimum of the…
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
The set of all values of the parameters a for which the points of local minimum of the function y = 1 + a2 x – x3 satisfy the inequality \(\frac{x^{2}+x+2}{x^{2}+5 x+6} \leq 0\) is
- an empty set
- \((-3 \sqrt{3},-2 \sqrt{3})\)
- \((2 \sqrt{3}, 3 \sqrt{3})\)
- \((-3 \sqrt{3},-2 \sqrt{3}) \cup(2 \sqrt{3}, 3 \sqrt{3})\)
Answer
(D) (-3 3 ,-2 3 ) (2 3 , 3 3 )
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