Home
Class 12
MATHS
If f(x) ={(kx^2),(4):}, ((x <4),(x ge4))...

If `f(x) ={(kx^2),(4):}, ((x <4),(x ge4))` and f is continuous at x = 4 then value of k is :

Text Solution

Verified by Experts

The correct Answer is:
`1/4`
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARKS (TRUE OR FALSE QUESTIONS (TYPE-III))|13 Videos
  • CONTINUITY

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 4 MARKS|17 Videos
  • CONTINUITY

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARKS (MCQ.s (TYPE-I))|28 Videos
  • APPLICATIONS OF INTEGRALS

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 2 MARKS|17 Videos
  • DEFINITE INTEGRALS

    ACCURATE PUBLICATION|Exercise QUESTION CARRYING 4 MARKS|8 Videos

Similar Questions

Explore conceptually related problems

If f(x) ={(kx^2),(3):}, ((x <2),(x ge2)) and f is continuous at x = 2 then value of k is :

If f(x) ={(kx^2),(3):}, ((x <3),(x ge3)) and f is continuous at x = 3 then value of k is :

If f(x) = {:{(kx^2,x <2),(3,xge2):} is continous at x =0, the value of 'k' is

If f(x)= {(kx^4,,x,<,4),(4,,x,ge,4):} is continuous at x = 4, then the value of 'k' is :

If f(x)= {(kx^2,,x,<,2),(3,,x,ge,2):} is continuous at x = 2, then the value of 'k' is :

If f(x) = (4x + 3)/(6x-4), x ne (2/3) , Examine whether f(x) is invertible or not. If f (x) is invertible, then find ^f-1 (x) .

If f(x) = (|x-4|)/(4-x), x ne 4, f(4) = 0 , show that f is continuous every where except at x = 4.

For what value of 'k' the function 'f ' defined by f(x) = {(kx^2,,x,le,4),(3,,x,>,4):} is continuous at x = 4.

If f(x)={(kx+2" , "xle5),(3x-4" , "xgt5):} is continuous at x=5 then value of k is: