Home
Class 12
MATHS
Find the values of a and b such that the...

Find the values of a and b such that the function defined by `f(x){(5,"if",xge2),(ax+b,"if",2ltxlt10),(21,"if",xge10):}` is continuous.

Text Solution

Verified by Experts

The correct Answer is:
a=2,b=1
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARKS (TRUE OR FALSE QUESTIONS (TYPE-III))|13 Videos

  • APPLICATIONS OF INTEGRALS

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 2 MARKS|17 Videos

  • DEFINITE INTEGRALS

    ACCURATE PUBLICATION|Exercise QUESTION CARRYING 4 MARKS|8 Videos

Similar Questions

Explore conceptually related problems

Find the values of a and b such that the function defined by : f(x)={(5,,,, if x le2),(ax+b,,,, if 2

Find the relationship between a and b so that the function f defined by f(x)={(ax+1,"if",xle3),(bx+c,"If",xgt3):}

Find the values of k so that the function f, defined by f(x)={(kx+1,"if",xle5),(3x-5,"if",xgt5):} is continuous at x=5.

Find the relationship between a and b so that the function f defined by: f(x)={(ax+1,,,, if x le 3),(bx+3,,,, if x>3):} is continuous at x=3

Is the function defined by f(x)={(x+5,,,,if x le 1),(x-5,,,,if x>1):} a continuous function?

Find the values of a so that the function f defined by f(X) = {:{((sin^2ax)/x^2, x ne 0),(1, x = 0):} may be continuous at x = 0.

ACCURATE PUBLICATION-CONTINUITY-QUESTIONS CARRYING 4 MARKS
  1. Discuss the continuity of the function (x) at x = 1 if f(x) = {{:((x...

    Text Solution

    |

  2. Discuss the continuity of the function : f(x) = {:{((|x-a|)/(x-a), w...

    Text Solution

    |

  3. Discuss the continuity of f(x) at x = 0 if: f(x) = {:{((sqrt(1+x)-sq...

    Text Solution

    |

  4. Determine the value of constant A so that the function f(x)={((1-cos...

    Text Solution

    |

  5. The function f(x)={(e^(1/x)-1)/(e^(1/x)+1),x!=0, at x=0 ,f(x)=0 a. ...

    Text Solution

    |

  6. Determine k, so that f(x) = {{:((x^2 - 36)/(x - 6)"," ,"if " x != 6),(...

    Text Solution

    |

  7. (a) Determine the value of k so that the following function f(x) is co...

    Text Solution

    |

  8. Find the value of 'k', for which: f(x) = {:{(sqrt(1+kx)-sqrt(1-kx))/...

    Text Solution

    |

  9. Find the values of k so that the function f is continuous at the indic...

    Text Solution

    |

  10. For what value of 'a' and 'b', the function 'f' defined as: f(x) = {...

    Text Solution

    |

  11. For what value of k is the following function continous at x = 2 ? f...

    Text Solution

    |

  12. If the function defined by : f(x) = {:{(2x-1,x<2),(a,x=2),(x+1,x>2):...

    Text Solution

    |

  13. If f(x)={((x-5)/(|x-5|)+a" , if "xlt5),(a+b" , if "x=5),((x-...

    Text Solution

    |

  14. Find the values of a and b such that the function defined by f(x){(5,"...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. Find all points of discontinuity of f, where f is defined as follows: ...

    Text Solution

    |