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
Doubtnut Promotions Banner Mobile Dark
|

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) = {{:(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

Knowledge Check

  • 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

    A
    -6
    B
    1
    C
    `-1`
    D
    2

  • 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

    A
    1
    B
    3
    C
    6
    D
    7

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

    A
    `4/7`
    B
    `2/7`
    C
    `7/2`
    D
    `3/7`

    • Similar Questions

    Explore conceptually related problems

    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

    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 = ……

    Home
    Profile