Home
Class 12
MATHS
Let a, b in R be such that the function ...

Let `a, b in R` be such that the function f given by `f(x) = 1n|x| + bx^(2) + ax, x ne 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)/(2)`.

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.

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the least value of a such that the function f given by f(x)=x^2+a x+1 is strictly increasing on (1,2)

Find the least value of a such that the function f given by f(x)=x^2+ax+1 is strictly increasing on (1,2)

Find the inverse of the function f: R rarr (-oo,1) given by f(x) = 1-2^(-x)

If the function f :R rarr A given by f(x) = x^2/(x^2+1) is surjection , then find A.

Consider the function f:R rarr R defined by f(x)=|x-1| . Is f(2)=f(0) ,why?

The minimum value of f(x) = max{x, 1 + x, 2 - x} is a) (1)/(2) b) (3)/(2) c)1 d)0

Find the domain and range of the function f = {(x, (x^2 -1)/(x - 1)): x in R, x ne 1}