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+1,ifxlt=3b x+3,ifx<3` is continuous at `x=3.`

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

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

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 .

Discuss the continuity of the function f defined by f(x)={x+2ifxlt=1 x-2ifx >1

Find the values of a and b such that the function defined by f(x)={{:(5, if xle2), (a x+b , if 2 lt x lt10 ),(21 , ifx ge10):} is a continuous function.

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

Find the values of a and b so that the function f given by f(x) ={1, if x = 5 is continuous at x=3 and x=5 .

Find the values of a and b so that the function f(x) defined by f(x)={(x^2 +ax+b),(0<=x<2),(3x+2) , (2<=x<=4), (2a x+5b), (4 < x <= 8)} becomes continuous on [0,pi].

Find all the points of discontinuity of the function f defined by f(x)={x+2, ifx 1

Find the values of a and b so that the function f given by f(x)={ax+b , if 3 = 5 is continuous at x=3 and x=5.

RD SHARMA ENGLISH-CONTINUITY-All Questions
  1. Determine the value of a ,b ,c for which the function f(x)={(sin(a+1)x...

    Text Solution

    |

  2. Show that f(x)=(x-|x|)/(2), when \ x!=0 f(x)=2 \ when \ x=0 \ is \ d...

    Text Solution

    |

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

    Text Solution

    |

  4. If f(x)=(sin3x)/x,w h e nx!=0, f(x)= 1,w h e n x=0 Find whether f(x) i...

    Text Solution

    |

  5. Prove that the function f(x)={(sinx)/x,x<0x+1,xgeq0 is everywhere ...

    Text Solution

    |

  6. Let f(x)=(1-cosx)/(x^2),\ \ \ w h e n\ x!=0,\ f(x)=1,\ \ \ w h e n\ x...

    Text Solution

    |

  7. If f(x)={e^(1/x) ,1 ifx!=0ifx=0 Find whether f is continuous a...

    Text Solution

    |

  8. Test the continuity of the following function at the origin; f(x)={x...

    Text Solution

    |

  9. The function f(x)={(x^2/a, if 0le x lt1),(a, if 1 le x lt sqrt2),((2b^...

    Text Solution

    |

  10. A function f(x) is defined as f(x)={(x^2 -x-6)/(x-3);ifx!=3 and 5ifx=...

    Text Solution

    |

  11. Find the domain of f(x) = sin^-1 x+ cos x

    Text Solution

    |

  12. If y=(x-1)log(x-1)-(x+1)log(x+1), prove that : dy/dx = log((x-1)/(1+x)...

    Text Solution

    |

  13. The value of f(0) , so that the function f(x)=(sqrt(a^2-a x+x^2)-sqrt(...

    Text Solution

    |

  14. The value of a for which the function f(x) = {[5x-4,if 0ltxle1],[4x^2...

    Text Solution

    |

  15. Evaluate : tan(cos^-1(-7/25))

    Text Solution

    |

  16. The function f(x)=tanx is discontinuous on the set {npi; n in Z} (b)...

    Text Solution

    |

  17. If f(x)=|(log)(10)x| , then at x=1 f(x) is continuous and f^(prime)(1...

    Text Solution

    |

  18. If the function f(x)={(cosx)^(1/x),x!=0k ,x=0 is continuous at x=0 , t...

    Text Solution

    |

  19. If f(x)=(x+1)^(cotx) be continuous at x=0, the f(0) is equal to (a...

    Text Solution

    |

  20. If f(x)={m x+1,xlt=pi/2sinx+n ,x &gt;pi/2 is continuous at x=pi/2, t...

    Text Solution

    |