Home
Class 12
MATHS
If f(x) {:(= 2x - 1 ", if " x gt 2 )...

If f(x) ` {:(= 2x - 1 ", if " x gt 2 ),(= 2k ", if " x = 2 ), (=x^(2)-1", if " x lt 2 ) :} ` is continuous on R , then k = `…….`

A

3

B

`-3`

C

`3/2`

D

`-3/2`

Text Solution

Verified by Experts

The correct Answer is:
c
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) {:(=x+1", if " x le 1 ),(= 3 + ax^(2)", if "x gt 1 ) :} is continuous on R , then a = ………

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

If f(x) {:(=3x-4", if " 0 le x le 2 ),(= 2x + k ", if "2lt x le 3 ):} is continuous x = 2 , then k = ……

If f(x) {:(=3k", if "x le 1/2 ),(= 3/2-2x " , if " 1/2 lt x lt 1 ):} is continuous at x = 1/2 , " then " k = …….

If f(x) = {:((8^(x)-2^(x))/(k^(x)-1)", if " x != 0 ),(=2", if " x = 0 ):} is continuous at x = 0, then k = ….

If the function f(x) = {(kx + 5 ", when " x le 2),(x -1 ", when " x gt 2):} is continuous at x = 2 then k = ?

If f(x) = {(x^2+k,,,x ge 0),(-x^2-k,,,x lt 0):} is continuous at x = 0, then k is equal to

If f(x) {:(= 4x - 3 ", for " 0 lt x le 2 ),(= 4x+ 3k " , for " x gt2 ):} is continuous at x = 2 , then k =

If f(x){:(=4(3^(x))", "," if "x lt0),(=x+2k+2," if " x ge 0):} is continuous at x = 0 , then k = ….

The function 'f' is defined by f(x) = 2x - 1 , if x gt 2, f(x) = k if x = 2 and x^(2) - 1 if x lt 2 is continuous, then the value of k is equal to

MARVEL PUBLICATION-CONTINUITY F FUNCTIONS-MULTIPLE CHOICE QUESTIONS
  1. If x = a, f(x) {:(=(x^(2))/a-a", if " 0 lt x lt a ),(=0 ", ...

    Text Solution

    |

  2. If f(x) {:(=(x^(3)+x^2-16x+20)/((x-2)^(2)) ", if " x!= 2 ), (=k ",...

    Text Solution

    |

  3. If f(x) {:(= 2x - 1 ", if " x gt 2 ),(= 2k ", if " x = 2...

    Text Solution

    |

  4. If f(x) (2^(x+2)-16)/(4^(x)-2^(4)), x != 2 is continuous at x = 2...

    Text Solution

    |

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

    Text Solution

    |

  6. f(x) {:(=(x^(2))/2" , if " 0 le x lt 1 ),(= ...

    Text Solution

    |

  7. If f(x) {:(=px-q", if " x le 1 ),(= 3x ", if " 1 lt x l...

    Text Solution

    |

  8. Given f(x){:(= (sin [(2k-3)x])/(4x)", if " x lt0), (= k+1", ...

    Text Solution

    |

  9. The value of f(0) so that f(x) = ((4^(x)-1)^(3))/(sin(x/4)log(1+(x^(...

    Text Solution

    |

  10. lim(x to 0) (|x|)/x =

    Text Solution

    |

  11. If f(x) {:( (1-cos(10x))/(x^(2)) ", if " x lt 0 ),(= a ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. The value of f(0) that the function f(x) = ( root3 (1+x)-root 4 (...

    Text Solution

    |

  16. The function f(x) = (x^(3)+x^(2)-16x+20)/(x-2) is not defined at x = 2...

    Text Solution

    |

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

    Text Solution

    |

  18. If the function f(x) {:( = 4(5^(x))",....... " x lt0),(= 8a+x", ........

    Text Solution

    |

  19. If f(x) {:( =(x-|x|)/x", ... " x!=0 ),(=2", ... " x...

    Text Solution

    |

  20. If f(x) is continuous and f(9/2)=2/9 , then : lim(x to 0) f((1-cos 3x...

    Text Solution

    |