Home
Class 12
MATHS
{:(f(x),=(x^(2)-4)/(x-2)+a,",","for" x l...

` {:(f(x),=(x^(2)-4)/(x-2)+a,",","for" x lt 2),(,=8,",","for"x = 2),(,=x+b+4,",","for"x gt 2):}` is continuous at x = 2 , then the value of a and b are respectively

A

2,4

B

4,2

C

1,2

D

2,2

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY

    TARGET PUBLICATION|Exercise Critical Thinking|80 Videos
  • CONTINUITY

    TARGET PUBLICATION|Exercise Competitive Thinking|63 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) = {(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) = {((x-2)/(|x-2|)+a, ",",x lt2),(a+b, ",", x = 2 ),((x-2)/(|x-2|)+b, ",",x gt 2):} is continuous at x = 2, then a+b =

f(x) ={((x^2-9)/(x-3)+a,",",x gt 3),(5, ",",x = 3),(2x^2+3x+b, ",",x lt 3):} is continuous at x = 3, then

If f(x)={:{(ax^(2)-b", for " 0 le x lt1),(2", for " x=1),(x+1", for " 1 lt x le 2):} is continuous at x=1 , then the most suitable values of a, b are

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

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

If f(x) = {(ax+1,",",x le (pi)/(2)),(sin x+ b,",",x gt (pi)/(2)):} is continuous at x = (pi)/2 , then

If f(x) (2^(x+2)-16)/(4^(x)-2^(4)), x != 2 is continuous at x = 2 , then the value of f(2) is

If : f(x) {:(=ax^(2)-b", ... " 0 le x lt 1 ),(=2", ... "x=1 ),(= x+1", ... " 1 lt x le 2 ) :} is continuous at x= 1 , then the most suitable values of a and b are