Home
Class 12
MATHS
If f(x) is continuous at x=0, where f(x...

If `f(x)` is continuous at `x=0`, where `f(x)={:{(k(x^(2)-2)", for " x le 0),(4x+1", for " x gt 0):}`, then `k=`

A

`1/2`

B

`(-1)/(2)`

C

2

D

-2

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL DISTRIBUTION

    NIKITA PUBLICATION|Exercise MCQS|77 Videos

  • DEFINITE INTEGRAL

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|243 Videos

Similar Questions

Explore conceptually related problems

If f(x) is continuous at x=0 , where f(x)={:{(x^(2)+1", for " x ge 0),(2sqrt(x^(2)+1)+k ", for " x lt 0):} , then k=

If f(x) is continuous at x=0 , where f(x)={:{((1+3x)^(1/x)", for " x != 0 ),(k", for " x =0):} , then k=

If f(x) is continuous at x=0 , where f(x)={:{((1-cos k x)/(x^(2))", for " x!=0),(1/2 ", for " x=0):} , then k=

If f(x) is continuous at x=0 , where f(x)={:{((1-cos k x)/(x^(2))", for " x!=0),(1/2 ", for " x=0):} , then k=

If f(x) is continuous at x=0 , where f(x)={:{((sec^(2)x)^(cot^(2)x)", for " x!=0),(k", for " x=0):} , then k=

If f(x) is continuous at x=0 , where f(x)={:{((1-cos x)/(x)", for " x!=0),(k ", for" x = 0 ):} , then k=

If f(x) is continuous at x=0 , where f(x)={:{((8^(x)-2^(x))/(k^(x)-1)", for " x!=0),(2", for " x=0):} , then k=

If f(x) is continuous at x=2 , where f(x)={:{(4x-3", for " x lt 2),(kx+7", for " x gt 2):} , then k=

If f(x) is continuous at x=0 , where f(x)={:{((9^(x)-9^(-x))/(sin x)", for " x!=0),(k", for " x=0):} , then k=

If f(x) is continuous at x=0 , where f(x)={:{((3^(x)-3^(-x))/(sin x)", for " x!=0),(k", for " x=0):} , then k=

NIKITA PUBLICATION-CONTINUITY-MULTIPLE CHOICE QUESTIONS
  1. If f(x) is continuous at x=1, where f(x)={:{(k+x", for " x lt 1),(4x+...

    Text Solution

    |

  2. If f(x) is continuous at x=0, where f(x)={:{(x^(2)+1", for " x ge 0),...

    Text Solution

    |

  3. If f(x) is continuous at x=0, where f(x)={:{(k(x^(2)-2)", for " x le ...

    Text Solution

    |

  4. If f(x) is continuous at x=0, where f(x)={:{(x^(2)+alpha", for " x ge...

    Text Solution

    |

  5. If f(x) is continuous at x=3, where f(x)={:{((x^(2)-9)/(x-3)+alpha", ...

    Text Solution

    |

  6. If f(x) is continuous at x=2 and x=10, where f(x)={:{(5", if " x le 2...

    Text Solution

    |

  7. If f(x) is continuous at x=1, where f(x)={:{(kx^(2)", for " x ge 1),(...

    Text Solution

    |

  8. If f(x) is continuous on [0, 8] , where f(x)={:{(x^(2)+ax+6", for " 0...

    Text Solution

    |

  9. If f(x) is continuous in [0, 3], where f(x)={:{(3x-4", for " 0 le x l...

    Text Solution

    |

  10. If f(x) continuous on its domain, where f(x)={:{(6", for " x le 2), (...

    Text Solution

    |

  11. If f (x) is continuous on 0-4, 2], defined as f(x)=6b-3ax, "for" -4 ...

    Text Solution

    |

  12. If f(x) is continuous at x=3, where f(x)={:(ax+1", for " x le 3),(bx...

    Text Solution

    |

  13. If f(x) is continuous in [-2, 2], where f(x)={:{(x+a", for " x lt 0)...

    Text Solution

    |

  14. If f(x)={((sqrt(1+kx)-sqrt(1-kx))/(x),",","for" -1 lex lt 0),(2x^(2)+3...

    Text Solution

    |

  15. If the function f:R to R given by f(x)={(x+a"," , "if "x le 1),(3...

    Text Solution

    |

  16. If f(x)={:{(ax^(2)-b", for " 0 le x lt1),(2", for " x=1),(x+1", for " ...

    Text Solution

    |

  17. If the function and the derivative of the function f(x) is everywhere ...

    Text Solution

    |

  18. If f(x) is continuous at x=2, where f(x)={:{(4x-3", for " x lt 2),(kx...

    Text Solution

    |

  19. If f(x) is continuous at x=0, where f(x)={:{((1-cos 4x)/(x^(2))", for...

    Text Solution

    |

  20. If f(x) is continuous at x=0, where f(x)={:{((sin 4x)/(5x)+a", for " ...

    Text Solution

    |