Let $\mathrm{a}, \mathrm{b}\in \mathrm{R}$ be such that the function $\text{⨍ }$ given by $\text{⨍ (x)=1n}\left|\mathrm{x}\right|{\text{+bx}}^2\text{+ax,x≠0}$ has extreme values at $\mathrm{x}=-1$ and $\mathrm{x}=2$

Statement-I : $\text{⨍ }$ has local maximum at x = -1 and at x = 2

Statement - II : $\mathrm{a}=\frac{1}{2}\mathrm{b}=\frac{-1}{4}$

Statement - I is false, Statement- II is true

Statement - I is true, statement - II is true; statement -II is a correct explanation for Statement - I

Statement - I is true, Statement - II is true; statement - II is not a correct explanation for Statement - I

Statement - I is true, statement - II is false