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CGP EDU Academic Team
Published on: August 13, 2026
The function f(x) = ax 2 – β x – 4x 3 + γ, where α , β , γ , ∈ R, has local maxima at P(log 2 a, f(log 2 a)) & Local minima at Q (log 2 a 2 , f(log 2 a 2 )). If the graph of f(x) changes concavity about the point R 
, then which of the following conic section can have eccentricity 'a'
Text Solution
Verified by ExpertsThe correct answer is:
D
f '(x) = 2 α x – 12x 2 – β
log 2 a + 2log 2 a = 
(maxima & minima are roots of f '(x) = 0
log 2 a = 
..........(i)
f "(x) = 2 α – 24x = 0 ⇒ x = 
⇒ 
= 
⇒ α = 9
⇒ log 2 a = 
(from (i))
∴ a = 
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