Home
Class 12
MATHS
For what value of k, function f(x)={((k ...

For what value of k, function `f(x)={((k cosx)/(pi-2x)",","if "x ne (pi)/(2)),(3",", "if " x =(pi)/(2)):}` is continuous at `x=(pi)/(2)`?

Text Solution

Verified by Experts

The correct Answer is:
`k= 6`.
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    OSWAAL PUBLICATION|Exercise DIFFERENTIABILITY ( VERY SHORT ANSWER TYPE QUESTIONS )|15 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    OSWAAL PUBLICATION|Exercise DIFFERENTIABILITY ( SHORT ANSWER TYPE QUESTIONS-I)|24 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    OSWAAL PUBLICATION|Exercise CONTINUITY ( SHORT ANSWER TYPE QUESTIONS-I)|3 Videos

  • APPLICATIONS OF DERIVATIVES

    OSWAAL PUBLICATION|Exercise TOPIC - 5 MAXIMA AND MINIMA (LONG ANSWER TYPE QUESTIONS - II)|29 Videos

  • DETERMINANTS

    OSWAAL PUBLICATION|Exercise TOPIC-2 SOLUTIONS OF SYSTEM OF LINEAR EQUATIONS (LONG ANSWER TYPE QUESTIONS -II )|24 Videos

Similar Questions

Explore conceptually related problems

Determine the value of k, if f(x) = {((kcosx)/(pi-2x),if x!=(pi)/2),(3,if x = (pi)/2):}

f(x) = {{:((k cos x)/(pi - 2x) "if" , x ne (pi)/(2)),( 3, "if" x=(pi)/(2)):} at x= pi/2 , f (x) is containuous , find the value of k .

If f(x) = {((1-sqrt2sinx)/(pi-4x), x ne pi/4),(a, x = pi/4):} is continuous at pi/4 , then a =

f(x) = {((sin 2x)^(tan^(2)2x), x ne pi/4),(k, x = pi/4):} . If f(x) is continuous at x = pi/4 , then k =

If f(x)={{:(Kx^(2),"if x" le 2),(3,"if x" gt 2):}} is continuous at x = 2, then the value of K is

The function f(x) = {{:((sin x)/(x) + cos x,"if",x ne 0),(k,"if",x = 0):} is continuous at x = 0, then value of k is :

OSWAAL PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-CONTINUITY ( LONG ANSWER TYPE QUESTIONS-I)
  1. Find the value of k if f(x)={{:(kx+1," if "x le 5),(3x-1," if "x gt 5)...

    Text Solution

    |

  2. The function is defined by f(x) = {(kx+1,if, x le5),(3x-5,if, x gt 5):...

    Text Solution

    |

  3. For what value of k, function f(x)={((k cosx)/(pi-2x)",","if "x ne (pi...

    Text Solution

    |

  4. Find the values of a and b such that the function defined by f(x)={...

    Text Solution

    |

  5. Find the value of the constant k so that the function f , defined belo...

    Text Solution

    |

  6. Let : f(x) {:(=(1-cos 4x)/(x^(2))", ... "x lt 0 ),(= a", ...

    Text Solution

    |

  7. If f(x)={{:(1" if "x le 3),(ax+b" if "3 lt x lt 5),(7" if "x ge 5):} ...

    Text Solution

    |

  8. f(x) = {{:((sqrt(1+kx)-sqrt(1-kx))/(x),if -1 le x lt 0),((2x+1)/(x-1...

    Text Solution

    |

  9. f(x)={(x^3+x^2-16 x+20)/((x-2)^2), x!=2k ,k , x=2 . Find the value of ...

    Text Solution

    |

  10. Find the values of k so that the function f is continuous at the in...

    Text Solution

    |

  11. If f(x) {:(=x^(2)+ax+b", if "0 le x lt 2 ),(= 3x+2", i...

    Text Solution

    |

  12. Discuss the continuity of the function f(x) at x= (1)/(2), when f(x) i...

    Text Solution

    |

  13. Find the value of ' a ' if the function f(x) defined by f(x)={2x-1,\ \...

    Text Solution

    |

  14. Find the value of ' a^(prime) for which the function f defined by f(x)...

    Text Solution

    |

  15. Find all the points for discontinuity of the function f(x) =[x^2] on [...

    Text Solution

    |

  16. f(x)={{:(|x|+3, if x le -3),(-2x, if -3 lt x lt 3 ),(6x + 2, if x ge3)...

    Text Solution

    |

  17. For what value of k is the function defined by f(x)={{:(k(x^(2)+2)," i...

    Text Solution

    |

  18. Find the values of a and b such that the function defined as follows i...

    Text Solution

    |

  19. Find the values of k so that the function f is continuous at the in...

    Text Solution

    |

  20. If the functions f(x) , defined below is continuous at x=0 , find t...

    Text Solution

    |