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if the complete set of values (s) of 'a' for which the function `f (x) =(ax^(3))/(3)+(a+2) x^(2) +(a-1) x+2` possess a negative point of inflection is `(-oo, alpha),uu(beta,oo)" then " |alpha|+|beta|` is :

A

`(oo , -2) cup (0 , oo)`

B

`{-4//5}`

C

`(-2 , 0)`

D

empty set

Text Solution

Verified by Experts

The correct Answer is:
A
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