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Let a, b in R be such that the function ...

Let `a, b in R` be such that the function f given by f(x)= ln `|x|+bx^(2)+ax, x ne0` has extreme values at `x=-1 and x=2`
Statemet-I : f has local maximum at `x=-1 and x=2.`
Statement- II: `a=(1)/(2),b=(-1)/(4)`

A

Statement 1 is true , statement 2 is true, statement 2 is not a correct explanation for statement 2

B

statement 1 is true, statement 2 is false

C

statement 1 is false, statement 2 is true

D

statement 1 is true , statement 2 is true, statement 2 is a correct explanation for statement 2

Text Solution

Verified by Experts

The correct Answer is:
D
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