Home
Class 12
MATHS
Determine the value of the constant k...

Determine the value of the constant `k` so that the function `f(x)={k x^2,\ \ \ if\ xlt=2 3,\ \ \ if\ x >2` is continuous at `x=2` .

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL DISTRIBUTION

    RD SHARMA ENGLISH|Exercise All Questions|149 Videos

  • DEFINITE INTEGRALS

    RD SHARMA ENGLISH|Exercise All Questions|562 Videos

Similar Questions

Explore conceptually related problems

Determine the value of the constant k so that the function f(x)={(x^2-3x+2)/(x-1),\ \ \ if\ x!=1 ):{k ,\ \ \ if\ x=1 is continuous at x=1 .

Determine the value of the constant k so that the function f(x)={(sin2x)/(5x),\ \ \ if\ x!=0 \ \ \ \ ,k \ \ \ if\ x=0 is continuous at x=0 .

Determine the value of the constant m so that the function f(x)={m(x^2-2x)\ \ \ \ \ if\ x<0,\ \ \ cosx \ \ if\ xgeq0 is continuous.

Determine the value of the constant k , so that the function f(x) ={ (kx)/|x| , if x lt 0 ,3 if x ge 0 is continuous at x=0

Determine the value of the constant m so that the function f(x)={m(x^2-2x),ifx<0cosx ,ifxgeq0 is continuous.

Find the value of k, so that the function f(x) = {(kx^2 + 5, if x le 1), (2, if x gt 1):} is continuous at x = 1

Find the value of k , so that the function f(x) = {(kx^2 + 5, if x le 1), (2, if x gt 1):} is continuous at x = 1

Find the value of k so that the function f defined by f(x)={(kcosx)/(pi-2x), "if"\ \ x\ !=pi/2" 3,if"\ x=pi/2 is continuous at x=pi/2

For what value of k is the function f(x)={(sin2x)/x ,\ \ \ x!=0k ,\ \ \ x=0 continuous at x=0 ?

For what value of k is the function f(x)={(x^2-1)/(x-1),\ \ \ x!=1k ,\ \ \ x=1 continuous at x=1 ?

RD SHARMA ENGLISH-CONTINUITY-All Questions
  1. Determine the value of the constant k so that the function f(x)={(x^...

    Text Solution

    |

  2. For what value of k is the function f(x)={(sin5x)/(3x),\ \ \ if\ x!=0,...

    Text Solution

    |

  3. Determine the value of the constant k so that the function f(x)={k ...

    Text Solution

    |

  4. Determine the value of the constant k so that the function f(x)={(si...

    Text Solution

    |

  5. Find the values of a so that the function f(x)={a x+5,\ \ \ if\ xlt=2 ...

    Text Solution

    |

  6. Prove that the function f(x)={x/(|x|+2x^2),\ \ \ x!=0k ,\ \ \ x=0 r...

    Text Solution

    |

  7. Find the value of k if f(x) is continuous at x=pi//2 , where f(x)={(kc...

    Text Solution

    |

  8. Determine the values of a ,\ b ,\ c for which the function f(x)={(si...

    Text Solution

    |

  9. If f(x)={(1-cosk x)/(xsinx),x!=0 \ \ \ \ \ \ \ \ 1/2,x=0 is continuo...

    Text Solution

    |

  10. If f(x)={(x-4)/(|x-4|)+a ,\ \ \ if\ x<4, a+b \ \ \ if\ x=4, (x-4...

    Text Solution

    |

  11. For what value of k is the function f(x)={(sin2x)/x ,\ \ \ x!=0k ,\ \ ...

    Text Solution

    |

  12. Let f(x)=(log(1+x/a)-log(1-x/b))/x ,\ \ x!=0 . Find the value of f at ...

    Text Solution

    |

  13. If f(x)={((2^(x+2)-16)/(4^x-16),x!=2),(k, x=2):} is continuous at x=2 ...

    Text Solution

    |

  14. If f(x)={(cos^2x-sin^2x-1)/(sqrt(x^2+1)-1),\ \ \ x!=0 \ \ \ \ k, \ \ ...

    Text Solution

    |

  15. Extend the definition of the following by continuity f(x)=(1-cos7(x...

    Text Solution

    |

  16. If f(x)=(2x+3sinx)/(3x+2sinx) , x!=0 is continuous at x=0 , then find ...

    Text Solution

    |

  17. Find the values of k for which f(x)={(1-cos4x)/(8x^2),\ \ \ w h e n\ x...

    Text Solution

    |

  18. Find the value of the constant k so that the given function is ...

    Text Solution

    |

  19. Find the value of the constant k so that the given function is ...

    Text Solution

    |

  20. Find the value of the constant k so that the given function is c...

    Text Solution

    |