Home
Class 12
MATHS
Determine the value of the constant m so...

Determine the value of the constant `m` so that the function `f(x)={m(x^2-2x),ifx<0cosx ,ifxgeq0` is continuous.

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL DISTRIBUTION

    RD SHARMA ENGLISH|Exercise All Questions|149 Videos

  • DEFINITE INTEGRALS

    RD SHARMA ENGLISH|Exercise All Questions|562 Videos

Similar Questions

Explore conceptually related problems

Determine the value of the constant m so that the function f(x)={m(x^2-2x)\ \ \ \ \ if\ x<0,\ \ \ cosx \ \ if\ xgeq0 is continuous.

Determine the value of the constant k so that the function f(x)={(x^2-3x+2)/(x-1),\ \ \ if\ x!=1 ):{k ,\ \ \ if\ x=1 is continuous at x=1 .

Determine the value of the constant k so that the function f(x)={k x^2,\ \ \ if\ xlt=2 3,\ \ \ if\ x >2 is continuous at x=2 .

Determine the value of the constant k , so that the function f(x) ={ (kx)/|x| , if x lt 0 ,3 if x ge 0 is continuous at x=0

Determine the value of the constant k so that the function f(x)={(sin2x)/(5x),\ \ \ if\ x!=0 \ \ \ \ ,k \ \ \ if\ x=0 is continuous at x=0 .

Determine the value of the constant k so that the function f(x)={k x^2\ \ \ ,\ \ \ if\ xlt=2 3\ \ \ ,\ \ \ if\ x >2 is continuous.

Find the values of a and b so that the function f(x)={(x^2+3x+a ,, ifxlt=1), (bx+2 ,, ifx >1):} is differentiable at each x∈R

The value of the function f at x=0 so that the function f(x)=(2^(x)-2^(-x))/(x), x ne0 , is continuous at x=0 , is

Find the values of aa n db so that the function f(x)={x^2+3x+a ,ifxlt=1b x+2,ifx >1 is differentiable at each x in Rdot

Find the values of aa n db so that the function f(x)={x^2+3x+a ,ifxlt=1b x+2,ifx >1 is differentiable at each x in Rdot

RD SHARMA ENGLISH-CONTINUITY-All Questions
  1. Let f(x)={(x^4-5x^2+4)/(|(x-1)(x-2)|, x!=1,2 & 6, x=1 & 12 , x = 2 t...

    Text Solution

    |

  2. Let f (x)= {((1+ax )^(1//x), x lt 0),( ((x+c)^(1//3)-1)/((x+1)^(1//2) ...

    Text Solution

    |

  3. Determine the value of the constant m so that the function f(x)={m(x^...

    Text Solution

    |

  4. The value of f(0), so that the function f(x)=((27-2x)^(1/3)-3)/(9-3(2...

    Text Solution

    |

  5. The function f(x)={(e^(1/x)-1)/(e^(1/x)+1),x!=0 0,x=0 (a)is continu...

    Text Solution

    |

  6. The points of discontinuity of the function f(x)={2sqrt(x),0<=x<=l. ...

    Text Solution

    |

  7. If f(x)=(tan(pi/4-x))/(cot2x) for x!=pi/4, find the value of which c...

    Text Solution

    |

  8. Find the values of a and b so that the function f(x) defined by f(x)={...

    Text Solution

    |

  9. f(x)={(sqrt(1+p x)-sqrt(1-p x))/x ,-1lt=x<0(2x+1)/(x-2),0geqxgeq1 is ...

    Text Solution

    |

  10. The value of f(0) so that the function f(x)=(2-(256-7x)^(1/8))/((5x+32...

    Text Solution

    |

  11. Find k if the function f(x)={(sin3x)/x ,x!=0;k/2,x=0 is continuous at...

    Text Solution

    |

  12. Discuss the continuity of the function f(x)={(sin2x)/x ,ifx<0,x+2,ifx...

    Text Solution

    |

  13. Test the continuity of the following function at the origin: f(x)={(|...

    Text Solution

    |

  14. Show that the function f(x) given by f(x)={(xsin(1/x),x!=0),(0,x=0):} ...

    Text Solution

    |

  15. Show that the function f(x) given by f(x)={(sinx)/x+cosx ,x!=0 and 2,...

    Text Solution

    |

  16. Examination the function f(x) given by f(x)={((cosx)/(pi/2-x) ,, x !=...

    Text Solution

    |

  17. Discuss the continuity of the function f(x) given by f(x)={(2-x ,, x<...

    Text Solution

    |

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

    Text Solution

    |

  19. If f(x)={((1-coskx)/(xsinx) ,, x!=0),(1/2 ,, x=0):} is continuous at x...

    Text Solution

    |

  20. Discuss the continuity of the function of given by f(x)=|x-1|+|x-2| \ ...

    Text Solution

    |