Home
Class 12
MATHS
Find the relationship between a and b...

Find the relationship between a and b so that the function f defined by: `f(x)={a x+1b x+3\ \ \ \ \ \ "if"\ x\ lt=3"if"\ x >3`

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise EXERCISE 5.2|10 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise EXERCISE 5.3|15 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS (VERY SHORT ANSWER TYPE QUESTIONS)|35 Videos

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise Chapter test 4|12 Videos

Similar Questions

Explore conceptually related problems

Find the relationship between ' a ' and ' b ' so that the function 'f' defined by f(x)={a x+1\ \ \ ,\ \ \ if\ xlt=3b x+3\ \ \ ,\ \ \ if\ x >3 is continuous at x=3 .

Find the relationship between a and b so that the function f defined by x 3 is continuous at x=3 .

Find the relationship between a and b so that the function f defined by f(x)=ax+1, if x 3 is continuous at x=3.

Find the relationship between a and b so that the function 'f' defined by f(x)={a x+1,ifxlt=3b x+3,ifx<3 is continuous at x=3.

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

The function defined as f(x) = 2x^(3) -6x +3 is

the range of the function f defined by f(x)=(sin x cos3x)/(sin3x*cos x)is

Find the values of a and b , if the function f defined by f(x)={x^2+3x+a ,xlt=1b x+2,x >1 is differentiable at x=1

Find the values of a and b, if the function f(x) defined by f(x)={x^(2)+3x+a,x is differentiable at x=1

Find the values of a and b so that the function f given by f(x)={a x+1, b,7, ifxlt=3if3

MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE 5.1
  1. Discuss the continuity of the function f, where f is defined by : f(...

    Text Solution

    |

  2. Discuss the continuity of the function f, where f is defined byf(x)={...

    Text Solution

    |

  3. Find the relationship between a and b so that the function f define...

    Text Solution

    |

  4. For what value of lambdais the function defined by f(x)={lambda(x^2-2...

    Text Solution

    |

  5. Show that the function defined by g(x)=x-[x] is discontinuous at all i...

    Text Solution

    |

  6. Is the function defined by f(x)=x^2-sinx+5continuous at x=pi?

    Text Solution

    |

  7. Discuss the continuity of the following functions a) f(x)=sinx+cosx

    Text Solution

    |

  8. Discuss the continuity of f(x)=sinx-cosx

    Text Solution

    |

  9. Discuss the continuity of the following functions : f(x)=sinx*cosx

    Text Solution

    |

  10. Discuss the continuity of the cosine, cosecant, secant and cotangen...

    Text Solution

    |

  11. Find all points of discontinuity of f, wheref(x)={(sinx)/x , ifx<0x+1,...

    Text Solution

    |

  12. Determine if f defined by : f(x)={{:(x^(2)"sin"1/x", if "xne0),(0"...

    Text Solution

    |

  13. Examine the continuity of f, where f is defined by : f(x)={{:(sinx+c...

    Text Solution

    |

  14. Find the value of k so that the function f defined by f(x)={(kcosx)/(...

    Text Solution

    |

  15. f(x) = {{:(kx^(2)"," if x le 2),(3", " if x gt 2):} at x = 2

    Text Solution

    |

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

    Text Solution

    |

  17. Find the values of k so that the function f is continuous at the indi...

    Text Solution

    |

  18. Find the value of 'a' and 'b' such that the function defined by : f(...

    Text Solution

    |

  19. If f(x)=((3x+tan^(2) x)/x) is continuous at x=0, then f(0) is equal to...

    Text Solution

    |

  20. Show that the function defined by f(x) = | cos x |is a continuous fun...

    Text Solution

    |