JEE Main 2024 Mathematics question
Let S be the set of positive integral values of a for which , ∀ x ∈ ℝ. Then, the number of elements is S is :
Answer: (A)
Solution
The denominator x² − 8x + 32 has discriminant 64 − 128 < 0, so it is always positive. The inequality then requires ax² + 2(a + 1)x + 9a + 4 < 0
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