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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)+asx,xne0` has extreme values at x=-1 and at x=2
Statement 1: f has local maximum at x =-1 and at x =2
statement 2: a =`1/2` and b = `(-1)/(2)`.

A

Statement-1 is false, Statement-2 is true

B

Statement-1 is true, Statement-2 is true, Statement-2 is a correct explanation of Statement-1

C

Statement-1 is true, Statement-2 is true, Statement-2 is not a correct explanation of Statement-1

D

Statement-1 is true, Statement-2 is false

Text Solution

Verified by Experts

The correct Answer is:
C
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