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)`.

Options

A. Statement I is false, Statement II is true
B. Statement I is true, Statement II is true, Statement II is a correct explanation of Statement I
C. Statement I is true, Statement II is true, Statement II is not a correct explanation of Statement I
D. Statement I is true, Statement II is false.

Answer

C