Home
Class 12
MATHS
If f(x) = {(kx^(2),"if"x le 2),(3,"if" x...

If `f(x) = {(kx^(2),"if"x le 2),(3,"if" x gt 2):}` is continuous at x = 2, then the value of k is

A

3

B

4

C

`3/4`

D

`4/3`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY

    TARGET PUBLICATION|Exercise Evaluation Test|10 Videos

  • CONTINUITY

    TARGET PUBLICATION|Exercise Critical Thinking|80 Videos

  • BINOMIAL DISTRIBUTION

    TARGET PUBLICATION|Exercise EVALUTION TEST|12 Videos

  • DEFINITE INTEGRALS

    TARGET PUBLICATION|Exercise EVALUATIO TEST|30 Videos

Similar Questions

Explore conceptually related problems

If f(x) = {(2x+1,",",x le 1),(-3-kx^(2),",",x gt 1):} is continuous at x = 1, then the value of k is

If f(x)={((x^(3)+x^(2)-16x+20)/((x-2)^(2))",",x ne 2),(k",", x =2):} is continuous at x = 2, then the value of k is

If f (x) = {{:(x + 1 , x le 1), (3 - ax^(2) ,x gt 1):} is continuous at x =1, then the value of a is

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

f(x) = {(3x-8,",", "if"x le 5),(2k,",", "if"x gt 5):} is continuous at x = 5, find k.

If f(x) = {(3x-4,",",0 le x le 2),(2x+k,",",2 lt x le 3):} is continuous in [0,3], then the value of k is

If f(x) = {((sqrt(1+kx)-sqrt(1-kx))/(x), "if" -1 le x lt 0),((2x+k)/(x-1), "if" 0 le x le1):} is continuous at x = 0, then the value of k is

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

Find the value of k, so that the function f(x) = {(kx^2 + 5, if x le 1), (2, if x gt 1):} is continuous at x = 1

Find the value of k, so that the function f(x) = {(kx^2 + 5, if x le 1), (2, if x gt 1):} is continuous at x = 1

TARGET PUBLICATION-CONTINUITY-Competitive Thinking
  1. If f(x) = {(kx^(2),"if"x le 2),(3,"if" x gt 2):} is continuous at x ...

    Text Solution

    |

  2. For the function f(x)={((x^(3)-a^(3))/(x-a)",",x ne a),(b" ,",x ...

    Text Solution

    |

  3. The function 'f' is defined by f(x) = 2x - 1, if x gt 2, f(x) = k if ...

    Text Solution

    |

  4. f(x) = {(3x-8,",", "if"x le 5),(2k,",", "if"x gt 5):} is continuous at...

    Text Solution

    |

  5. If {:(f(x),=x^(2)+alpha,",","for"x ge 0),(,=2sqrt(x^(2)+1)+beta, ",","...

    Text Solution

    |

  6. In order that the function f(x) = (x+1)^(1/x) is continuous at x = 0, ...

    Text Solution

    |

  7. If f(x) = {((x^(2)+3x-10)/(x^(2)+2x-15),",", "when"x != -5),(a,",", "w...

    Text Solution

    |

  8. If f(x) = {((x^(2)-9)/(x-3),",", "if"x != 3),(2x+k,",", "otherwise"):}...

    Text Solution

    |

  9. If f(x) = {((sqrt(1+kx)-sqrt(1-kx))/(x), "if" -1 le x lt 0),((2x+k)/(x...

    Text Solution

    |

  10. If f(x) = {((sin 2x)/(5x), ",", "when" x != 0),(k, ",", "when" x = 0...

    Text Solution

    |

  11. If f(x) = {((3sin pix)/(5x), ",",x != 0),(2k, ",",x = 0):} is continu...

    Text Solution

    |

  12. If f(x) = |x-2|, then

    Text Solution

    |

  13. If f(x) = |x-b|, then the function

    Text Solution

    |

  14. If f(x) = {(1, ",", "when" 0 lt x le (3pi)/4),(2(sin) 2/9x, ",", "when...

    Text Solution

    |

  15. If f(x) = {((1-cosx)/x, ",", x != 0),(k, ",", x = 0):} is continuous a...

    Text Solution

    |

  16. If the function f(x) = {((cosx)^(1/x), ",", x != 1),(k, ",", x = 1):} ...

    Text Solution

    |

  17. If f(x) = {((log(e )x)/(x-1), ",", x != 1),(k, ",", x = 1):} is contin...

    Text Solution

    |

  18. The function f(x) = (1-sin x + cos x)/(1+sin x + cosx) is not defined ...

    Text Solution

    |

  19. If {:(f(x),=((e^(kx)-1)^(2)sinx)/(x^(3)),",",x != 0),(,=4, ",",x = 0):...

    Text Solution

    |

  20. If f(x) = (e^(x^2)-cos x)/(x^(2)), "for" x != 0 is continuous at x = 0...

    Text Solution

    |