Home
Class 12
MATHS
Determine the values of a , b , c for wh...

Determine the values of `a , b , c` for which the function `f(x)={(sin(a+1)x+sinx)/(x c,fox=0),forx<0(sqrt(x+b x^2)-sqrt(x))/(b x^(3/2)),forx >0i scon t inuou sa tx=0`

A

`a=-2, b=0, c=0`

B

`a=-2, b=R, c=0`

C

`a=-2, b!=0, c=0`

D

`a=-2, b=0, c!=0`

Text Solution

Verified by Experts

The correct Answer is:
C
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

Determine the values of a,b,c for which the function f(x)={(sin(a+1)x+sin x)/(x) for x 0 is continuous at x=0

Determine the values of a,b,c for which the function f(x)={(sin(a+1)x+sin x)/(x),quad f or x<0c,quad f or x=0(sqrt(x+bx^(2)))/(bx^(3/2)),quad f or x is continuous at x=0

Show that f(x)={(sin3x)/(tan2x3/2,ifx=0),ifx 0i scon t inuou sa tx=0

Determine the value of a ,b ,c for which the function f(x)={(sin(a+1)x+sinx)/x c(sqrt(x+b x^2)-sqrt(x))/(b x^(3/2)) , fx 0

Find the value of a' for which the function f defined by f(x)={a(sin pi)/(2)(x+1),quad x 0 is continuous at x=0

Find the value of a for which the function f defined by f(x)={a(sin pi)/(2)(x+1),x 0 is continous at x=0

If the function f(x) = (x(e^(sinx) -1))/( 1 - cos x ) is continuous at x =0 then f(0)=

The function f(x)=x^(2)"sin"(1)/(x) , xne0,f(0)=0 at x=0

The values of a,b and c which make the function f(x)={{:(("sin"(a+1)x+"sinx")/(x),xlt0),(C,x=0),(sqrt(x+bx^(2)-sqrt("x"))/(b"x"^(3//2)),"x"gt0):} continuous at x=0 are

The value of a for which the function f(x)=f(x)={((4^x-1)hat3)/(sin(x a)log{(1+x^2 3)}),x!=0 12(log4)^3,x=0 may be continuous at x=0 is 1 (b) 2 (c) 3 (d) none of these

NIKITA PUBLICATION-CONTINUITY-MULTIPLE CHOICE QUESTIONS
  1. If f(x) = (sin pi x)/(x-1)+a, " for " x lt 1 = 2 pi , " for " x= 1 ...

    Text Solution

    |

  2. Let f(x)={{:(,sin2x,0 lt x le xpi//6),(,ax+b,pi//6 lt x lt 1):} If f(x...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. If f(x) is continuous on [-2, 2], where f(x)={:{((sin ax)/(x)+2", for...

    Text Solution

    |

  6. Find the values of a and b so that the function f(x)={{:(x+asqrt2...

    Text Solution

    |

  7. Let f(x) = {{:(-2 sin x,"for",-pi le x le - (pi)/(2)),(a sin x + b,"fo...

    Text Solution

    |

  8. If the function f(x) is continuous in the interval [-2, 2]. find the ...

    Text Solution

    |

  9. If f(x) is continuous in (-oo, 6), where f(x)={: {(1+sin ((pi x)/(2))...

    Text Solution

    |

  10. If f(x)={(ax+1",", x le (pi)/(2)),(sinx+b",", x gt (pi)/(2)):} is cont...

    Text Solution

    |

  11. If f(x)={:{((e^(1/x)-1)/(e^(1/x)+1)", for " x !=0),(1", for " x=0):}, ...

    Text Solution

    |

  12. If f(x) is continuous at x=0, where f(x){:{((1)/(1+e^(1/x))", for " x...

    Text Solution

    |

  13. The function f(x)=k ( k in R) at every x in R is

    Text Solution

    |

  14. The composition of two continuous functions is a continuous function.

    Text Solution

    |

  15. If f(x)= sin x, then f is

    Text Solution

    |

  16. If f(x)=sin x^(2), then f is

    Text Solution

    |

  17. If f(x)=a^(x), a gt 0, then f is

    Text Solution

    |

  18. Discuss the continuity of the function logc x, where c> 0, x > 0.

    Text Solution

    |

  19. The rational function f(x)=(g(x))/(h(x)), h(x) != 0 is

    Text Solution

    |

  20. The function f(x)= |x| is

    Text Solution

    |