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

For what value of `k` is the following function continuous at `x=2?` `f(x)={2x+1; x<2k ; x=2 3x-1; x >2}`

Text Solution

AI Generated Solution

To determine the value of \( k \) for which the function \[ f(x) = \begin{cases} 2x + 1 & \text{if } x < 2 \\ k & \text{if } x = 2 \\ 3x - 1 & \text{if } x > 2 ...
Promotional Banner

Topper's Solved these Questions

  • CUET MOCK TEST 2022

    XII BOARDS PREVIOUS YEAR|Exercise Question|49 Videos

Similar Questions

Explore conceptually related problems

For what value of k is the following function continuous at x=2?f(x)={2x+1quad ;quad if quad x

Find the values (s) of k so that the following function is continuous at x=0 f(x ) = {{:( (1- cos kx )/( x sin x ) , " if " x ne o),( 1/2, I f x=0):}

f(x)={(x^3+x^2-16 x+20)/((x-2)^2), x!=2k ,k , x=2 . Find the value of k, so that the following function is continuous at x=2.

For what value of k is the function f(x)={k(|x|)/(x),x =0 continuous at x=0?

What is the value of k for which the following function f(x) is continuous for all x? f(x)={{:((x^(3)-3x+2)/((x-1)^(2)),"for "xne1),(k,"for "x=1):}

What is the value of k for which the following fucntion f(x) is continuous for all x? f(x)={{:((x^(2)-3x+2)/((x-1)^(2))","," for "xne1),(k","," for " x=1):}

For what value of mu is the function f(x)=mu(x^(2)-2x),x 0 is continuous at x=0

For what value of 'k' the function {{:(kx^2",",x le 2),(3",",x>2):} is continuous at x=2

Consider the function: f(x)={{:((tankx)/(x),xlt0),(3x+2k^(2),xle0):} What is the non-zero value of k for which the function is continuous at x = 0?

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

XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Find the equation of tangent to the curve x=sin3t , y=cos2t\ \ at t=p...

    Text Solution

    |

  2. Differentiate the following with respect of x\ :tan^(-1)\ ((sqrt(1+x)\...

    Text Solution

    |

  3. For what value of k is the following function continuous at x=2? ...

    Text Solution

    |

  4. If vec a+ vec b+ vec c=0 and | vec a|=3,\ | vec b|=5 and | vec c|=7 ...

    Text Solution

    |

  5. If vec a= hat i+ hat j+ hat k\ a n d vec b= hat j- hat k , find a ...

    Text Solution

    |

  6. Using integration find the area of the region bounded by the parabo...

    Text Solution

    |

  7. Solve the following differential equation: (x^2-y^2)dx+2x y\ dy=0 gi...

    Text Solution

    |

  8. Solve the following differential equation: (dy)/(dx)=(x\ (2y-x))/(x\ (...

    Text Solution

    |

  9. Show that the height of the cylinder of maximum volume that can be ...

    Text Solution

    |

  10. Show that the rectangle of maximum area that can be inscribed in a ...

    Text Solution

    |

  11. Find a unit vector in the direction of vec a=3 hat i-2 hat j+6 hat...

    Text Solution

    |

  12. Find the angle between the vectors vec a= hat i- hat j+\ hat k\ a...

    Text Solution

    |

  13. If A=|(1,2,2),(2,1,2),(2,2,1)|, verifty that A^2-4A-5I-5I=0

    Text Solution

    |

  14. A pair of dice is thrown 4 times. If getting a doublet is considere...

    Text Solution

    |

  15. Using properties of determinants, prove the following |(alpha,beta,ga...

    Text Solution

    |

  16. If "f"("x")=x+7 and g(x)=x-7,\ x\ \ R , find (fog)(7)

    Text Solution

    |

  17. Evaluate : sin[pi/3-sin^(-1) (-1/2)]

    Text Solution

    |

  18. Find the value of x and y If : 2[[1,3],[0,x]]+[[y,0],[1,2]]=[[5,6],[1...

    Text Solution

    |

  19. Evaluate |(a+ib,c+id),(-c+id,a-ib)|

    Text Solution

    |

  20. Find the cofactor of a12 in the following |(2,-3,5),(6,0,4),(1,5,-7)|

    Text Solution

    |