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CGP EDU Academic Team
Published on: August 13, 2026
Let f(x) = 
Complete set of 'a such that f(x) has a local minima at x = 3, is
Text Solution
Verified by ExpertsThe correct answer is:
C
Clearly f(x) is decreasing just before x = 3 and increasing after x = 3. For x = 3 to be the point of local minima.
f(3) ≥ ≥ f(3 – 0)
⇒ ⇒ − − 15 ≥ ≥ 12 – 27+ l n (1 2 - 3a + 3) ⇒ ⇒ 0 < a 2 – 3a + 3 < 1
⇒ ⇒ 1 < a < 2
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