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.

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    PRADEEP PUBLICATION|Exercise EXERCISE|788 Videos

  • APPLICATIONS OF INTEGRALS

    PRADEEP PUBLICATION|Exercise EXERCISE|162 Videos

  • DETERMINANTS

    PRADEEP PUBLICATION|Exercise EXERCISE|342 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.

PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. In the following, determine the constant so that given function is con...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. Show that the function defined by f(x) = cos(x^2) is a continuous func...

    Text Solution

    |

  5. Show that the function defined by f(x) = |cosx| is a continuous functi...

    Text Solution

    |

  6. Examine if sin |x| is a continuous function.

    Text Solution

    |

  7. Find all the points of discontinuity of f defined by f(x) = |x|-|x+1|

    Text Solution

    |

  8. Differentiate the following functions with respect to x. sin(x^3 + 5x)

    Text Solution

    |

  9. Differentiate the following functions with respect to x. cos(sinx)

    Text Solution

    |

  10. Differentiate the following functions with respect to x. sin (a x + ...

    Text Solution

    |

  11. Differentiate the functions with respect to x: sec(tan(sqrtx))

    Text Solution

    |

  12. Differentiate the functions with respect to x: (sin(ax+b))/(cos(cx+d))

    Text Solution

    |

  13. Differentiate the functions with respect to x: cos x^3 cdot sin^2 (x^5...

    Text Solution

    |

  14. Differentiate the following functions with respect to x. 2sqrt(cot (...

    Text Solution

    |

  15. Differentiate the functions with respect to x cos(sqrtx)

    Text Solution

    |

  16. Prove that the function f given by : f(x) = |x-1|, x in R is not diffe...

    Text Solution

    |

  17. Prove that f(x) = [x], 0 lt x lt 3 is not differentiable at x = 1 but ...

    Text Solution

    |

  18. Find dy/dx in the following: 2x+3y = sinx

    Text Solution

    |

  19. Find dy/dx in the following : 2x +3y = sin y

    Text Solution

    |

  20. Find dy/dx in the following: ax + by^2 = cos y

    Text Solution

    |