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Application of Derivatives question

2012 · Shift 0 · Q27

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PYQ Library
JEE Main
Mathematics
Application of Derivatives
2012 · Shift 0 · Q27

Application of Derivatives question

2012 · Shift 0 · Q27

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1

Let

a,b \in R

be such that the function

f

given by

f\left( x \right) = In\left| x \right| + b{x^2} + ax,\,x e 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 \over 2}

and

b = {-1 \over 4}

A
Statement - 1 is false, Statement - 2 is true.
B
Statement - 1 is true , Statement - 2 is true; Statement - 2 is a correct explanation for Statement - 1.
C
Statement - 1 is true, Statement - 2 is true; Statement - 2 is not a correct explanation for Statement - 1.
D
Statement - 1 is true, Statement - 2 is false.

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