Home
Class 12
MATHS
The sum of the maximum and minimum value...

The sum of the maximum and minimum values of the function `f(x)=1/(1+(2cosx-4sinx)^2)i s`

A

(a) `22/21`

B

(b) `21/20`

C

(c) `22/20`

D

(d) `21/11`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|25 Videos

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|11 Videos

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 12|4 Videos

  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos

  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

Similar Questions

Explore conceptually related problems

Find the maximum and minimum values of the function f(x) = sin (sinx)

Find the maximum and minimum values of the function f(x) = 2 + x - x^2

Find the maximum and minimum values of the function f(x) = 3 - 2 sin x

Find the maximum and minimum values of the function f(x) = x + 4/x, x < 0

Find the absolute maximum and minimum values of the function. f(x) = 2 cos 2x - cos 4 x in (0,pi)

Find the absolute maximum and minimum values of the function f given by f(x) = cos^2x + sinx , x in [0,pi]

Find the maximum or minimum values of the functions. f(x) = sin^4 x + cos^4x

Find the maximum and minimum values of the function. f(x) = secx+logcos^2x ,in (0,2pi)

Find the absolute maximum and minimum values of the function. f(x) = sin^2 x - cos x, x in (0, pi)

Find the absolute maximum and minimum values of the function. f(x) = 12 x^(4//3) - 6 x^(1//3) in (-1,1)

ARIHANT MATHS-FUNCTIONS-Exercise (Single Option Correct Type Questions)
  1. Find the number of solutions of the equation e^(2x) + e^x-2=[{x^2 + 10...

    Text Solution

    |

  2. Total number of values of x, of the form 1/n, n in N in the interval ...

    Text Solution

    |

  3. The sum of the maximum and minimum values of the function f(x)=1/(1+(2...

    Text Solution

    |

  4. Let f : X rarr Y be an invertible function. Show that the inverse of ...

    Text Solution

    |

  5. The range of values of a so that all the roots of the equations 2x^(3)...

    Text Solution

    |

  6. If f(x) is continuous such that abs(f(x)) le 1, forall x in R " and " ...

    Text Solution

    |

  7. Let f(x)=sqrt(|x|-{x})(w h e r e{ } denotes the fractional part of (x)...

    Text Solution

    |

  8. If the graphs of the functionsy= log (e)x and y = ax intersect at exac...

    Text Solution

    |

  9. A quadratic polynomial maps from [-2,3] onto [0,3] and touches X-axis ...

    Text Solution

    |

  10. The range of the function y=sqrt(2{x}-{x}^2-3/4) (where, denotes the f...

    Text Solution

    |

  11. Let f(x) be a fourth differentiable function such f(2x^2-1)=2xf(x)AA x...

    Text Solution

    |

  12. The number of solutions of the equation [y+[y]]=2cosx, where y=(1)/(3)...

    Text Solution

    |

  13. If a function satisfies f(x+1)+f(x-1)=sqrt(2)f(x), then period of f(x)...

    Text Solution

    |

  14. If x and alpha are real, then the inequation log(2)x+log(x)2+2cos al...

    Text Solution

    |

  15. The range of values of ‘a' such that (1/2)^|x|= x² - a is satisfied f...

    Text Solution

    |

  16. Let f:R rarr R be a function defined by f(x)={abs(cosx)}, where {x} re...

    Text Solution

    |

  17. The domain of the function f(x)=sqrt(log(sinx+cosx)(abs(cosx)+cosx))...

    Text Solution

    |

  18. If f(x)=(x^(2)+2alphax+alpha^(2)-1)^(1//4) has its domain and range su...

    Text Solution

    |

  19. If f: (e,oo) rarr R & f(x)=log[log (logx)], then f is -

    Text Solution

    |

  20. The expression x^2-4px+q^2> 0 for all real x and also r^2+ p^2 < qr t...

    Text Solution

    |