Home
Class 12
MATHS
For what value of k is the function defi...

For what value of k is the function defined by `{(k(x^2+2),when xle0),(3x+1,whenx>0):}`.Continuous at x = 0. Also write whether the function is continuous at x = 1.

Promotional Banner

Topper's Solved these Questions

  • MODEL QUESTION PAPER -15

    SHARAM PUBLICATION|Exercise EXERCISE|40 Videos

  • MODEL QUESTION PAPER -17

    SHARAM PUBLICATION|Exercise EXERCISE|43 Videos

Similar Questions

Explore conceptually related problems

For what value of lambda ,is the function f(x)={(lambdax^2-2x,if xle0),(4x+1,ifx>0):} is continuous at x=0

Find the value of k if the function f(x) defined by f(x)= {(2x-1,whenx 2):} is continous at x=2.

Show that the function f(x)=2x-|x| is continuous at x=0 .

Find the value of k if the function f(x) defined by f(x)={(2x-1,when x 2):} is continous at x=2.

For what value of k, the function f(x)={((tan2x)/(x)", if "x!=0),(k", if "x=0):} is continuous at x=0 ?

For what value of k, the function f(x)={{:((sin2x)/(x)", "x!=0),(k", "x=0):} is continuous at x=0 ?

For what valueof K is the following function continuous at x = 2 ? f(x)={(2x+1,when x 2):}

Find the value of a such that the function f defined by f(x)={((sinax)/(sinx) if xne0),(1/a if x=0):} is continuous at x=0.

Find the value of k, so that the function defined by f(x)={(kx+1", if "xlepi),(cosx", if "xgtpi):} is continuous at x=pi .

For what value of lamda is the function f(x)={{:(lamda(x^(2)-2x)", if "xle0),(4x+1", if "xgt0):} continuous at x=0 ? What about continuity at x=1 ?

SHARAM PUBLICATION-MODEL QUESTION PAPER -16-EXERCISE
  1. Show that (a+1) is a factor of abs([(a+1),2,3],[1,a+1,3],[3,-6,a+1])

    Text Solution

    |

  2. Solve : |[x-a, 0, 0],[a, x-b, 0],[a, b, x-c]|=0

    Text Solution

    |

  3. For what value of k is the function defined by {(k(x^2+2),when xle0),(...

    Text Solution

    |

  4. If sin y = x sin (a + y) then show that (dy)/(dx)=(sin^2(a+y))/(sina)

    Text Solution

    |

  5. Find (dy)/(dx) when y=x^(siny)

    Text Solution

    |

  6. Find the interval in which the function f(x) = 3x^4- 4x^3- 12x^2+ 5 is...

    Text Solution

    |

  7. Find two numbers whose sum is 24 and product is maximum.

    Text Solution

    |

  8. Integrate: intx(e^x)/((1+x)^2)dx

    Text Solution

    |

  9. Integrate :inttan^-1x/(1+x^2)dx

    Text Solution

    |

  10. Evaluate int0^(pi/2)(sqrt(cosx))/(sqrt(sinx)+sqrt(cosx))dx

    Text Solution

    |

  11. Find the area bounded by the line y = 2x, x- axis and the ordinate x =...

    Text Solution

    |

  12. Solve 2y^3(dy)/(dx)=ax

    Text Solution

    |

  13. Find [veca vecb vecc] when veca= hati -2hatj + 3hatk, vecb=2hati+ hatj...

    Text Solution

    |

  14. If the position vectors of the points A, B, C are 2hat(i) + hat(j) - h...

    Text Solution

    |

  15. Write the volume of the parallelopiped whose sides are given by-hatj, ...

    Text Solution

    |

  16. The angle between the plane 3x+3z-5=0 and the line (x-1)/1=(y-2)/-1=(z...

    Text Solution

    |

  17. Find the equation of the plane passing through the intersection of the...

    Text Solution

    |

  18. Prove that (veca.vecb)^2=a^2b^2-(veca xx vecb)^2

    Text Solution

    |

  19. Show that the lines (x-4)/1=(y+3)/-4=(z+1)/7 and (x-1)/2=(y+1)/-3=(z+1...

    Text Solution

    |

  20. If x = (1-cos^2 theta)/(cos theta), y = (1-cos^(2n)theta)/(cos^n theta...

    Text Solution

    |