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

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

Statement -1 is false statement -2 is true . Statement -2 is a correct explanation for statement -1

Statement-1 is true statement-2 is true, statement-2 is a correct exaplnation for statement-1.

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

Statement-1 is true statement-2 is false.

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