Home
Class 12
MATHS
If f(x) {:(=ax^(2)+b", if " 0 le x lt ...

If f(x) `{:(=ax^(2)+b", if " 0 le x lt 1 ),(=x+3 ", if " 1 lt x le 2 ),(=4 ", if " x = 1 ):}`
then the values of (a,b) for which f(x) cannot be continuous at x = 1 are

A

`(1,3)`

B

`(2,2)`

C

`(4,1)`

D

`(4,0)`

Text Solution

Verified by Experts

The correct Answer is:
a,b,c,d
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|11 Videos
  • DIFFERENTIAL EQUATIONS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|14 Videos

Similar Questions

Explore conceptually related problems

If f(x)={(ax^(2)+b",",0 le x lt 1),(x +3",",1 lt x le 2), (4",", x =1):} , then the value of (a, b) for which f(x) cannot be continuous at x = 1 is

If f(x) {:(=-x^(2)", if " x le 0 ), (= 5x - 4 ", if " 0 lt x le 1 ),(= 4x^(2)-3x", if " 1 lt x le 2 ):} then f is

If f(x)={:{(x", for " 0 le x lt 1),(2", for " x=1),(x+1", for " 1 lt x le 2):} , then f is

If f(x) {:(=x^(2)-1", if "x lt 3 ),(= 2ax ", if "x le 3 ) :} is continuous at x = 3 , then a = ……

If f(x)={:{(3", if " 0 le x le 1),(4", if " 1 lt x lt 3),(5", if " 3 le x le 10):} , then

If f(x)={:{(x", for " 0 le x lt 1/2),(1-x", for " 1/2 le x lt 1):} , then

If f(x) {:(=x+a", if " x lt 0 ),(= x ", if " 0 le x le 1 ),(=b-x ", if " x gt 1 ) :} is continuous in [-2,2] , then a+b is

If f(x)={{:(,ax^(2)-b,ale xlt 1),(,2,x=1),(,x+1,1 le xle2):} then the value of the pair (a,b) for which f(x) cannot be continuous at x=1, is

If f(x) {:(=x^(2)+ax+b", if "0 le x lt 2 ),(= 3x+2", if " 2 le x le 4 ),(=2ax + 5b ", if " 4 lt x le 8 ) :} is continuous on [ 0,8] then a-b = ……

If f(x)={{:(,x^(2)+1,0 le x lt 1),(,-3x+5, 1 le x le 2):}

MARVEL PUBLICATION-CONTINUITY F FUNCTIONS-MULTIPLE CHOICE QUESTIONS
  1. The function (x^(3)-8)/(x^(2)-x-20) is continuous over the domain :

    Text Solution

    |

  2. The value of a and b such that the function f(x) {:{(-2 sin x", ...

    Text Solution

    |

  3. The value of lim(x to e) (log x^(2)-2)/(sqrt(x)-sqrt(e)) is

    Text Solution

    |

  4. If f(x) {:(= 4x - 3 ", for " 0 lt x le 2 ),(= 4x+ 3k " , for " ...

    Text Solution

    |

  5. If f(x) {: (=(x^(2)-2x-3)/(x-3)" , for " 0 le x le 4 ),(= (x^(2)-1)/(x...

    Text Solution

    |

  6. If the function f(x) {: (3 sin x - sin 3x)/(x^(3)), x != 0 , is co...

    Text Solution

    |

  7. If f(x) (2^(x)-1)/(1-3^(x)) , x != 0 is continuous at x = 0 then : ...

    Text Solution

    |

  8. If f(0) = 2 , and f(x) = (1-cos kx)/(x.sin x) , x != 0 , is continuo...

    Text Solution

    |

  9. If f(x) {:(=(x^(n)-2^(n))/(x-2)", if " x!=2 ),(= 1024 ", ...

    Text Solution

    |

  10. If f(x) {:((3^(x+2)-81)/(9^(x)-9^(2)) ", ... "x != 2 ),(= k....

    Text Solution

    |

  11. If f(x)= {:(2x^(2)-3", ... if " x lt2 ),(5ax ", ... i...

    Text Solution

    |

  12. If f(x) {: (=(sqrt(1+px) - sqrt(1- px))/x", if "-1/2 le x lt 0 ),(=...

    Text Solution

    |

  13. If f(x) {:(=(sin4x)/(5x)+a", if " x gt 0 ),( = 6x+4 -b...

    Text Solution

    |

  14. If f(x) =1/x for all x != 0 then : lim (x rarr 0 ) f((1-cos 5x)/x)=

    Text Solution

    |

  15. If f(x) {:(=(log (1-2x)-log(1-3x))/x", " x != 0 ),(=a", ...

    Text Solution

    |

  16. If f(x) {:(=-x^(2)", if " x le 0 ), (= 5x - 4 ", ...

    Text Solution

    |

  17. If f(x) {:( =((2^(x)-1)^(2))/(sin x.log(1+x))", if " x != 0 ),(= ...

    Text Solution

    |

  18. If f(t) = 1/(t^(2)-t-6) and t = 1/(x-2) then the values of x which ma...

    Text Solution

    |

  19. If f(x) = (1+sin x - cos x)/(1- sin x - cos x ) , x != 0 is continuo...

    Text Solution

    |

  20. If f(x) {:(=ax^(2)+b", if " 0 le x lt 1 ),(=x+3 ", if " 1 lt x...

    Text Solution

    |