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

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 -

A

`-(1)/(2)`

B

`(1)/(2)`

C

1

D

-1

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 5|80 Videos
  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 7|80 Videos
  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 6|80 Videos
  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination E|2 Videos
  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

Similar Questions

Explore conceptually related problems

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-

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

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

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

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-

Let f(x) ={{:((1-sin x)/(pi-2x)",","when" x ne (pi)/(2)),(lamda ",","when" x-(pi)/(2)):} If lim _(x to (pi)/(2))f(x)=f ((pi)/(2)), then the value of lamda is-

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)=(tan(pi/4+(log)_e x))^((log)_x e) is to be made continuous at x=1, then what is the value of f(1)?

If f(x)={((8^x-4^x-2^x+1^x)/x^2, x gt 0),(e^x sinx + pi x + lambda In4, x le 0):} is continuous at x = 0, then the value of e^lambda must be

CHHAYA PUBLICATION-MCQ ZONE -Question Paper 8
  1. If int(sinx)^(1) t^(2) f(t) dt =1-sinx, then the value of f((1)/(sqr...

    Text Solution

    |

  2. If int(cos 4x+1)/(cotx-tan x) dx=k cos 4x+c, then the value of k is...

    Text Solution

    |

  3. The value of integral int(dx)/(sin(x-a)sin(x-b)) is -

    Text Solution

    |

  4. If an antiderivative of f(x) is e^(x) and that of g(x) is cosx, then ...

    Text Solution

    |

  5. The value of int sqrt(e^(x)-1)dx is equal to -

    Text Solution

    |

  6. If I(1)=int sin^(-1)x dx and I(2)=int sin^(-1) sqrt(1-x^(2)) dx th...

    Text Solution

    |

  7. The value of int cos^(-(3)/(7)) x sin^(-(11)/(7)) x dx is equal to -

    Text Solution

    |

  8. The value of int(0)^((pi)/(2)) (2^(sinx)dx)/(2^(sinx)+2^(cosx)) is eq...

    Text Solution

    |

  9. The value of int((pi)/(6))^((pi)/(3)) (dx)/(1+sqrt(tan x)) is equal t...

    Text Solution

    |

  10. The value of int(0)^(pi/2) (sin^(4)x dx)/(sin^(4)x+cos^(4)x) is equa...

    Text Solution

    |

  11. State which of the following is correct : If f(x) is a continuous f...

    Text Solution

    |

  12. The integrating factor of the linear differential equation (1-x^(2))^...

    Text Solution

    |

  13. Let f(x)= (1-tanx)/(4x-pi) when 0 le x le (pi)/(2) and x ne (pi)/(4)...

    Text Solution

    |

  14. The solution of the differential equation (x+y)(dx-dy)=dx+dy is -

    Text Solution

    |

  15. The solution of the equation dy=cos x(2-y "cosec"x)dx, where y=(3)/(s...

    Text Solution

    |

  16. The order of differential equations of all parabolas having directrix ...

    Text Solution

    |

  17. The general solution of equation (dy)/(dx)+y= sinx is -

    Text Solution

    |

  18. Solution of the differential equation (dy)/(dx)+sqrt((1-y^(2))/(1-x^(2...

    Text Solution

    |

  19. The degree of the differential equation [1+((dy)/(dx))^(2)]^((3)/(4))...

    Text Solution

    |

  20. Given f(0)=0 and f(x)=(1)/(1-e^(-(1)/(x))) for x ne 0 . Then the fun...

    Text Solution

    |