Let a, b R be such that the function f given by `f(x)""=""ln""|x|""+""b x^2+""a x ,""x!=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""=1/2"and"b=(-1)/4` (1) Statement 1 is false, statement 2 is true (2) Statement 1 is true, statement 2 is true; statement 2 is a correct explanation for statement 1 (3) Statement 1 is true, statement 2 is true; statement 2 is not a correct explanation for statement 1 (4) Statement 1 is true, statement 2 is false