Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If the complete set of value(s) of 'a' for which the function f (x) = 
+ (a + 2) x 2 + (a − 1) x + 2 possess a negative point of inflection is ( − ∞ , α ) ∪ ( β , ∞ ), then | α | + | β | is :
Text Solution
Verified by ExpertsThe correct answer is:
2
(2)f ′′ (x) = 2ax + 2(a + 2)
Point of inflection is x = – 
– 
< 0 ⇒ a ∈ (– ∞ , –2) ∪ (0, ∞ )
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