Home
Class 12
MATHS
Consider the function f(x)=max. [(x^(2)...

Consider the function `f(x)=max. ` `[(x^(2) , (1-x)^(2) , 2x(1-x))] , x in [0,1]` The interval in which f(x) is increasing, is

A

`((1)/(3),(2)/(3))`

B

`((1)/(3),(1)/(2))`

C

`((1)/(3),(1)/(2))cup((1)/(2),(2)/(3))`

D

`((1)/(3),(1)/(2))cup((2)/(3),1)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|11 Videos

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|31 Videos

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|9 Videos

  • MATRICES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|49 Videos

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

Similar Questions

Explore conceptually related problems

Consider the function f(x)=max x^(2), [((1-x)^(2),2x(1-x))],x in [0,1] The interval in which f(x) is decreasing is

consider the function f(x)=(x^(2))/(x^(2)-1) The interval in which f is increasing is

The functions defined by f(x)="max" {x^(2),(x-1)^(2),2x(1-x)}, 0lexle1

Find the interval in which f(x)=2x^(3)+3x^(2)-12x+1 is increasing.

If f(x)=max{x^(2),(1-x)^(2),(3)/(4)},x in[0,1] then the value of of int_(0)^(1)f(x)dx is

ARIHANT MATHS-MONOTONICITY MAXIMA AND MINIMA-Exercise (Passage Based Questions)
  1. Let f(x)=(1)/(1+x^(2)), let m be the slope, a be the x-intercept and ...

    Text Solution

    |

  2. Let f(x)=(1)/(1+x^(2)), let m be the slope, a be the x-intercept and ...

    Text Solution

    |

  3. Consider the function f(x)=max. [(x^(2) , (1-x)^(2) , 2x(1-x))] , x i...

    Text Solution

    |

  4. Let f(x) = Max. {x^2, (1 - x)^2, 2x(1 - x)} where x in [0, 1] If Rol...

    Text Solution

    |

  5. Consider the function f(x)=max x^(2), [((1-x)^(2),2x(1-x))],x in [0,1]...

    Text Solution

    |

  6. f(x) ,g(x), h(x) all are continuos and differentiable functions in [a,...

    Text Solution

    |

  7. f(x) ,g(x), h(x) all are continuos and differentiable functions in [a,...

    Text Solution

    |

  8. f(x) ,g(x), h(x) all are continuos and differentiable functions in [a,...

    Text Solution

    |

  9. In the non-decreasing sequence of odd integers (a(1),a(2),a(3),....)={...

    Text Solution

    |

  10. In the non-decreasing sequence of odd integers (a(1),a(2),a(3),....)={...

    Text Solution

    |

  11. In the non-decreasing sequence of odd integers (a(1),a(2),a(3),....)={...

    Text Solution

    |

  12. Let g(x)=a(0)+a(1)x+a(2)x^(2)+a(3)x^(3)andf(x)=sqrt(g(x)),f(x) have it...

    Text Solution

    |

  13. Let g(x)=a(0)+a(1)x+a(2)x^(2)+a(3)x^(3)andf(x)=sqrt(g(x)),f(x) have it...

    Text Solution

    |

  14. Let g(x)=a(0)+a(1)x+a(2)x^(2)+a(3)x^(3)andf(x)=sqrt(g(x)),f(x) have it...

    Text Solution

    |

  15. f: D->R, f(x) = (x^2 +bx+c)/(x^2+b1 x+c1) wherealpha,beta are the root...

    Text Solution

    |

  16. f: D->R, f(x) = (x^2 +bx+c)/(x^2+b1 x+c1) wherealpha,beta are the root...

    Text Solution

    |

  17. f: D->R, f(x) = (x^2 +bx+c)/(x^2+b1 x+c1) wherealpha,beta are the root...

    Text Solution

    |

  18. f: D->R, f(x) = (x^2 +bx+c)/(x^2+b1 x+c1) wherealpha,beta are the root...

    Text Solution

    |

  19. f: D->R, f(x) = (x^2 +bx+c)/(x^2+b1 x+c1) wherealpha,beta are the root...

    Text Solution

    |

  20. consider the function f(x)=(x^(2))/(x^(2)-1) The interval in which f...

    Text Solution

    |