Home
Class 12
MATHS
Let f(x) =(1- tanx)/(4x-pi) when 0 le x ...

Let `f(x) =(1- tanx)/(4x-pi)` when `0 le x lt pi/2 and x ne pi/4, `If ` f (x)` is defined at `x =pi/4,` then the value of `f ((pi)/(4))` is-

A

`1/2`

B

1

C

`-1`

D

`-1/2`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 6|90 Videos
  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 9|66 Videos
  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 7|90 Videos
  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos
  • Measures of Central Tendency

    CHHAYA PUBLICATION|Exercise Exercise 2 C Very short answer type question|18 Videos

Similar Questions

Explore conceptually related problems

Let f(x)= (1-tanx)/(4x-pi) when 0 le x le (pi)/(2) and x ne (pi)/(4) , if f(x) is continuous at x=(pi)/(4) , then the value of f((pi)/(4)) is -

If f(x)=sin3x cos4x , then the value of f''((pi)/(2)) is -

L e t f(x)=(1-tanx)/(4x-pi),x!=pi/4,x in [0,pi/2], If f(x)i s continuous in [0,pi/4], then find the value of f(pi/4)dot

If f(x)=cos[pi^2]x+cos[-pi^2]x then the value of f(pi/4)+f(pi/2) is

If f(x)=x+sinx , then find the value of int_pi^(2pi)f^(-1)(x)dx .

f(x) = { (kx+1, x le pi),( cos x, x >pi):} If f(x) is continous at x = pi then find k.

Let f(x) be non- negative continuous function such that the area bounded by the curve y=f(x) , x- axis and the ordinates x= (pi)/(4) and x = beta ( beta gt (pi)/(4)) is beta sin beta + (pi)/(4) cos beta + sqrt(2) beta . Then the value of f((pi)/(2)) is-

The function f(x) =(1-sin x+cos x)/(1+sin x+cos x) is defined at x=pi. if f(pi)= k+1, then the value of k for which, lim _(x to pi) f(x) =f(pi) is-

Find the range of f(x)=sec(pi/4cos^2x)

If f(x)={(((1-sin^3x))/(3cos^2x), x lt pi/2), (a, x=pi/2), ((b(1-sinx))/((pi-2x)^2), x gt pi/2):} is continuous at x=pi/2 , then the value of (b/a)^(1/3) is

CHHAYA PUBLICATION-MCQ's-QUESTION PAPER 8
  1. Let R = {(3,3)}, (6,6) , (9,9) ,(12,12), (6,12),(3,9), (3,12), (3,6)},...

    Text Solution

    |

  2. The equation of the hyperbola having its eccentricity 2 and the distan...

    Text Solution

    |

  3. y(1) and y(2) and y(3) are the ordinates of three points on the parabo...

    Text Solution

    |

  4. Let A ={-3, -2, -1, 0,1,2} and ZZ be the set of integers. If f: A to Z...

    Text Solution

    |

  5. Total number of relation that can be defined on set A = {1,2,3,4,5} is...

    Text Solution

    |

  6. If f2f(x) +3f (-x) =x^(2) -x+1, then the value of f'(1) is-

    Text Solution

    |

  7. The value of lim x to pi/2( (2x-pi)/cosx) is

    Text Solution

    |

  8. If f (x) =(e^(x) -e ^(-x))/( e ^(x) +e^(-x)) +2, then the value of f ^...

    Text Solution

    |

  9. Let alpha and beta be the distinct roots of ax^(2) + bx + c = 0 then u...

    Text Solution

    |

  10. If 2f ((1)/(x)) +f(x) =3x, then the value of f (2) is-

    Text Solution

    |

  11. The domain of defination of the function f(x) =sqrt((sqrt(x+1))/(sqrtx...

    Text Solution

    |

  12. The range of the function f (x) = ""^(9-x) P (x-1) is-

    Text Solution

    |

  13. The period of the function sin ^(4) x+ cos ^(4) x is -

    Text Solution

    |

  14. The value of lim (xto0) (xe ^(x)- log (1+x))/(x ^(2)) is equal to-

    Text Solution

    |

  15. The value of lim (xto1) (1-x) tan ""(pix)/(2) is-

    Text Solution

    |

  16. If f(x) be a function such that f (9) =9 and f '(9)=3, then the value ...

    Text Solution

    |

  17. Let f(x) =(1- tanx)/(4x-pi) when 0 le x lt pi/2 and x ne pi/4, If f (...

    Text Solution

    |

  18. If f (x) is differentiable and f'(4) =5, then the vlaue of lim(xto2) (...

    Text Solution

    |

  19. If f(x) is differentiable at x=a, then the value of lim (x to a)((x+...

    Text Solution

    |

  20. If f(x+y+z)= f(x) f(y) f (z) ne 0, for all real x,y,z and f(2) =5, f...

    Text Solution

    |