MathematicsMedium175×since 2002Q2629Let a,b∈Ra,b \in Ra,b∈R be such that the function fff given by f(x)=In∣x∣+bx2+ax, x≠0f\left( x \right) = In\left| x \right| + b{x^2} + ax,\,x \ne 0f(x)=In∣x∣+bx2+ax,x=0 has extreme values at x=−1x=-1x=−1 and x=2x=2x=2 Statement-1 : fff has local maximum at x=−1x=-1x=−1 and at x=2x=2x=2. Statement-2 : a=12a = {1 \over 2}a=21 and b=−14b = {-1 \over 4}b=4−1AStatement - 1 is false, Statement - 2 is true.BStatement - 1 is true , Statement - 2 is true; Statement - 2 is a correct explanation for Statement - 1.CStatement - 1 is true, Statement - 2 is true; Statement - 2 is not a correct explanation for Statement - 1.DStatement - 1 is true, Statement - 2 is false.Check answerSkip