Home
Class 12
MATHS
Let f(x)=ax^(2)-b|x| , where a and b are...

Let `f(x)=ax^(2)-b|x|` , where a and b are constant . Then at x=0 , f(x) has

A

a maxima whenever `agt0,bgt0`

B

a maxima whenever `a gt 0, blt 0`

C

minima whenever `a gt 0, blt 0`

D

neither a maxima nor a minima whenver `agt 0, blt0`

Text Solution

Verified by Experts

The correct Answer is:
1,3
Promotional Banner

Topper's Solved these Questions

  • MONOTONICITY AND MAXIMA MINIMA OF FUNCTIONS

    CENGAGE|Exercise Exercise (Comprehension)|42 Videos

  • MONOTONICITY AND MAXIMA MINIMA OF FUNCTIONS

    CENGAGE|Exercise Linked comprehension type|8 Videos

  • MONOTONICITY AND MAXIMA MINIMA OF FUNCTIONS

    CENGAGE|Exercise Exercise (Single)|93 Videos

  • METHODS OF DIFFERETIATION

    CENGAGE|Exercise Question Bank|29 Videos

  • MONOTONOCITY AND NAXINA-MINIMA OF FUNCTIONS

    CENGAGE|Exercise Comprehension Type|6 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=ax^(2)-b|x|, where a and b are constants.Then at x=0,f(x) has a maxima whenever a>0,b>0 a maxima whenever a>0,b 0,b 0,b<0

Let f(x) =ax^(2) -b|x| , where a and b are constants. Then at x = 0, f (x) is

A function is defined as f(x) = ax^(2) – b|x| where a and b are constants then at x = 0 we will have a maxima of f(x) if

Let f(x)=a+b|x|+c|x|^(4), where a,b and c are real constants.Then,f(x) is differentiable at x=0, if a=0 (b) b=0( c) c=0(d) none of these

Let f(x)=a+b|x|+c|x|^(4), where a,b, and c are real constants.Then,f(x) is differentiable at x=0, if a=0( b) b=0 (c) c=0( d) none of these

Let f(x)=a+b|x|+c|x|^(2) , where a,b,c are real constants. The, f'(0) exists if

Let f(x)=ax^(2)+bx+c where a,b and c are real constants.If f(x+y)=f(x)+f(y) for all real x and y, then

Let f(x)=(2x+1)/(x),x!=0, where

A function has the form f(x)=ax+b, where a and b are constants. If f(2)=1" and "f(-3)=11 , the function is defined by

CENGAGE-MONOTONICITY AND MAXIMA MINIMA OF FUNCTIONS-Exercise (Multiple)
  1. If f(x)=int0^x (sint)/(t)dt,xgt0, then

    Text Solution

    |

  2. The values of parameter a for which the point of minimum of the functi...

    Text Solution

    |

  3. Let f(x)=ax^(2)-b|x| , where a and b are constant . Then at x=0 , f(x)...

    Text Solution

    |

  4. The function y=(2x-1)/(x-2),(xne 2)

    Text Solution

    |

  5. Let f(x) =ax^(2) + bx + c and f(-1) lt 1, f(1) gt -1, f(3) lt -4 and a...

    Text Solution

    |

  6. If f(x)=x^3-x^2+100x+2002 ,t h e n f(1000)>f(1001) f(1/(2000))>f(1...

    Text Solution

    |

  7. If f'(x) = g(x) (x-a)^2, where g(a) != 0 and g is continuous at x = a,...

    Text Solution

    |

  8. The value of a for which the function f(x)=(4a-3)(x+log5)+2(a-7)cotx/2...

    Text Solution

    |

  9. Let f(x) = (x^2 - 1)^(n+1) + (x^2 + x + 1). Then f(x) has local extrem...

    Text Solution

    |

  10. Let f(x)=sinx+ax+b.Then which of the following is/are true?

    Text Solution

    |

  11. The function (sin(x+a))/(sin(x+b)) has no maxima or minima if b-a=npi...

    Text Solution

    |

  12. Consider f(x)=ax^(4)+cx^(2)+dx+e has no point o inflection Then which ...

    Text Solution

    |

  13. L e tf(x)={((x-1)(6x-1))/(2x-1),ifx!=1/2 0,ifx=1/7 Then at x=1/2, whi...

    Text Solution

    |

  14. In which of the following graphs is x =c point of inflection?

    Text Solution

    |

  15. Let f(x) be an increasing function defined on (0,oo) . If f(2a^2+a+1)>...

    Text Solution

    |

  16. If f(x)=(sin^2x-1)^("n"),"" then x=pi/2 is a point of local maximum, i...

    Text Solution

    |

  17. For the cubic function f(x)=2x^3+9x^2+12 x+1, which one of the followi...

    Text Solution

    |

  18. Let f(x)=a5x^5+a4x^4+a3x^3+a2x^2+a1x , where ai ' s are real and f(x)=...

    Text Solution

    |

  19. If f(x)a n dg(x) are two positive and increasing functions, then which...

    Text Solution

    |

  20. An extremum of the function f(x)=(2-x)/picospi(x+3)+1/(pi^2)sinpi(x+3)...

    Text Solution

    |