Let $$a, b \in R$$ be such that the function $$f$$ given by $$f(x) = \ln|x| + bx^2 + ax, x \neq 0$$ has extreme values at $$x = -1$$ and $$x = 2$$. Statement 1: $$f$$ has local maximum at $$x = -1$$ and at $$x = 2$$. Statement 2: $$a = \frac{1}{2}$$ and $$b = \frac{-1}{4}$$.

A

Statement 1 is false, statement 2 is true

B

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

C

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

D

Statement 1 is true, statement 2 is false