Home
Class 12
MATHS
If f(x) is continuous in (-oo, 6), where...

If `f(x)` is continuous in `(-oo, 6)`, where `f(x)={: {(1+sin ((pi x)/(2))", for " - oo lt x le 1),(ax+b", for " 1 lt x lt 3),(6 tan ((pi x)/(12))", for " 3 le x lt 6):}`, then

A

`a=2, b=0`

B

`a=0, b=2`

C

`a=1, b=1`

D

`a=2, b=1`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL DISTRIBUTION

    NIKITA PUBLICATION|Exercise MCQS|77 Videos

  • DEFINITE INTEGRAL

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|243 Videos

Similar Questions

Explore conceptually related problems

If f(x) is continuous on [-2, 2], where f(x)={:{((sin ax)/(x)+2", for " -2 le x lt 0),(3x+5", for " 0 le x le 1),(sqrt(x^(2)+8)-b", for " 1 lt x lt 2):} , then a+b=

If f(x) is continuous in [-2, 2], where f(x)={:{ ((sin ax)/(x)-1", for "-2 le x lt 0),(2x+1", for " 0 le x le 1),(2bsqrt(x^(2)+3)-1", for " 1 lt x le 2):} , then a+b=

If f(x)={:{(x^(2)-4", for " 0 le x le 2),(2x+3", for " 2 lt x le 4),(x^(2)-5", for " 4 lt x le 6):} , then

If f(x) is continuous in [-2, 2], where f(x)={:{(x+a", for " x lt 0),(x", for " 0 le x lt 1),(b-x", for " x ge 1):} , then a+b=

If f(x)={((1)/(x+1)", for " 2 le x le 4),((x+1)/(x-3)", for " 4 lt x le 6):} , then

If f(x)={:{((x^(2)-9)/(x-3)", for " 0 lt x lt 3),(x+3", for " 3 le x lt 6),((x^(2)-9)/(x+3)", for " 6 le x lt 9):} , then f is

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

If f(x) is continuous on [0, 8] , where f(x)={:{(x^(2)+ax+6", for " 0 le x lt 2),(3x+2", for " 2 le x le 4),(2ax+5b", for " 4 lt x le 8):} , then

If f(x)={:{(x sin x", for " 0 lt x le pi/2),(pi/2 sin (pi+x)", for " pi/2 lt x lt pi):} , then

If f(x) is continuous in [-2,2], where f(x) = {((sinax)/(x)-2,",","for" -2 le x lt 0),(2x+1,",","for"0 le x le 1),(2bsqrt(x^(2)+3)-1,",","for" 1 lt x le 2):} , then the value of (a+b) is