Home
Class 12
MATHS
If f(x)={((sqrt(1+kx)-sqrt(1-kx))/(x),",...

If `f(x)={((sqrt(1+kx)-sqrt(1-kx))/(x),",","for " -1 lex lt 0),(2x^(2)+3x-2,",","for " 0 le x le1):}` is continuous at `x=0 `
then find k

A

(a) `-4`

B

(b) `-3`

C

(c) `-2`

D

(d) `-1`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

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)={((sqrt(1+px)-sqrt(1-px))/(x) ",", -1 le x lt 0),((2x+1)/(x-2)",", 0 le x le 1):} is continuous in [-1,1] then p is equal to

If f(x) = {(2,,,0 le x lt 1),(c-2x,,,1 le x le 2):} is continuous at x = 1 , then c equals

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

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

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

The function f(x) = {(x+2, ",",1 le x lt 2),(4, ",", x = 2 ),(3x-2, ",", x gt 2 ):} is continuous at