Home
Class 12
MATHS
If the function f(x)=| x^2 + a | x | + ...

If the function `f(x)=| x^2 + a | x | + b |` has exactly three points of non-derivability, then

A

`b=0, alt0`

B

`a lt0, a in R`

C

`bgt 0, a in R`

D

All of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|34 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise For Session 5|5 Videos

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 10|4 Videos

  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|27 Videos

Similar Questions

Explore conceptually related problems

If the function f(x)=|x^(2)+a|x|+b| has exactly three points of non-derivability,then

f(x)=|x|-2|+a| has exactly three points of non-differentiability.Then the value of a is

Draw the graph of the function f(x)= x- |x-x^(2)|, -1 le x le 1 and find the points of non-differentiability.

If f(x) = [2 + 5|n| sin x] , where n in I has exactly 9 points of non-derivability in (0, pi) , then possible values of n are (where [x] dentoes greatest integer function)

Let f (x) = || x^(2)-10x+21|-p|, then the exhausive set of values of for which f (x) has exactly 6 points of non-derivability, is:

If the function f(x)=2x^(3)+ax^(2)+bx,a,b varepsilon N. has exactly three distinct real zeros,then the minimum value of a+3b is equal to

If f(x)=max{x^(2)+2ax+1,b} has two points of non-differentiability,then prove that a^(2)>1-b

If f (x)=|||x|-2|+p| have more than 3 points non-derivability then the value of p can be :

The value of k such that the function f(x)=|x^(2)+(k-1)|x|-k| is non differentiable at exactly five points is