Home
Class 12
MATHS
Find all possible values of a and b so t...

Find all possible values of a and b so that f(x) is continous for all `x in R` if
`f(x) = {{:(|ax+3|, if, x le -1),(|3x+a|, if, -1 lt x le 0),((bsin2x)/x -2b, if, 0 lt x lt pi),(cos^(2)x-3, if, x ge pi):}`

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY

    MOTION|Exercise EXERCISE - 3 (PASSAGE BASED QUESTION (21-24))|4 Videos

  • CONTINUITY

    MOTION|Exercise EXERCISE - 4 (LEVEL -I) PREVIOUS YEAR JEE MAIN|4 Videos

  • CONTINUITY

    MOTION|Exercise EXERCISE -2 (LEVEL -II) MIXED PROBLEMS|4 Videos

  • COMPLEX NUMBER

    MOTION|Exercise EXERCISE - 4 (LEVEL -II) PREVIOUS YEAR - JEE ADVANCED|33 Videos

  • DEFINITE INTEGRATION

    MOTION|Exercise EXERCISE -4 LEVEL-II|33 Videos

Similar Questions

Explore conceptually related problems

f(x)={{:(|x|+3, if x le -3),(-2x, if -3 lt x lt 3 ),(6x + 2, if x ge3):}

If f(x)={{:(,x^(2)+1,0 le x lt 1),(,-3x+5, 1 le x le 2):}

f(x)={(|x|+3",","if", x le -3),(-2x",", "if", -3 lt x lt 3),(6x+2",","if",x ge 3):} is

If f(x) {:(=-x^(2)", if " x le 0 ), (= 5x - 4 ", if " 0 lt x le 1 ),(= 4x^(2)-3x", if " 1 lt x le 2 ):} then f is

If f(x)={:{(3", if " 0 le x le 1),(4", if " 1 lt x lt 3),(5", if " 3 le x le 10):} , then

Let f(x) ={:{(x, "for", 0 le x lt1),( 3-x,"for", 1 le x le2):} Then f(x) is

Let f(x) = {{:( x^(3) + x^(2) - 10 x ,, -1 le x lt 0) , (sin x ,, 0 le x lt x//2) , (1 + cos x ,, pi //2 le x le x ):} then f(x) has

Let f(x)={{:(1+x",", 0 le x le 2),(3-x"," ,2 lt x le 3):} find (fof) (x).

MOTION-CONTINUITY -EXERCISE - 3
  1. If the function f(x)=(3x^2+ax+a+3)/(x^2+x-2) is continuos at x=-2 .Fin...

    Text Solution

    |

  2. Let f(x)=[(1-sinpix)/(1+cos2pix), x<1/2 and p , x=1/2 and sqrt(2x-1)...

    Text Solution

    |

  3. If g(x)=(1-a^x+x a^xloga)/(x^2*a^x), x<0 ((2a)^x-xlog(2a)-1)/(x^2), x...

    Text Solution

    |

  4. Let [x] denote the greatest integer function & f(x) be defined in a ne...

    Text Solution

    |

  5. Let f(x) = [{:((pi/2.sin^(-1)(1-x^(2))sin^(-1(1-{x})))/(sqrt(2((x)-(x)...

    Text Solution

    |

  6. Find all possible values of a and b so that f(x) is continous for all ...

    Text Solution

    |

  7. Draw the graph of the function f(x) = x - |x - x^(2)|, -1 le x le 1 an...

    Text Solution

    |

  8. Discuss the continuity of 'f' in [0, 2], where f(x) = {{:(|4x - 5|[x],...

    Text Solution

    |

  9. let f(x)=(lncosx)/{(1+x^2)^(1/4)-1} if x > 0 and f(x)=(e^(sin4x)-1)/(l...

    Text Solution

    |

  10. Let f(x)={{:(1+x",", 0 le x le 2),(3-x"," ,2 lt x le 3):} find (fof)...

    Text Solution

    |

  11. The function f(x)= ((2+ cos x)/(x^(3) sin x)-3/x^(4)) is not defined a...

    Text Solution

    |

  12. The function f(x) = [{:((6/5)^(tan 6x)/(tan 5x), if, 0 lt x lt pi/2),(...

    Text Solution

    |

  13. Determine a & b so that f is continuous at x = pi/2 whre f(x) = [{:(...

    Text Solution

    |

  14. Determine the values of a , b , c for which the function f(x)={(sin(a+...

    Text Solution

    |

  15. If f(x) = (Sin 3x + A sin 2x + B sinx)/x^5 for x != 0is continuous a...

    Text Solution

    |

  16. A function f: RvecR is defined as f(x)=(lim)(nvecoo)(a x^2+b x+c+e^(n ...

    Text Solution

    |

  17. Given the function g(x) = sqrt(6-2x) and h(x) = 2x^(2) - 3x + a. Then ...

    Text Solution

    |

  18. f(x) = {{:((a^(sin x)-a^(tanx))/(tan x-sin x), "for",x gt 0),((ln(1+x+...

    Text Solution

    |

  19. let f(x)=x^3-x^2-3x-1 , g(x)=(x+1)aand h(x)=f(x)/g(x) where h is a rat...

    Text Solution

    |