Home
Class 12
MATHS
Find the value of k for which the functi...

Find the value of k for which the function `f(x)={k x+5, if\ x\ lt=2x-1, if\ x >2}\ ` is continuous at `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

Find the value of k, so that the function f(x) = {(kx^2 + 5, if x le 1), (2, if x gt 1):} is continuous at x = 1

Find the value of k, so that the function f(x) = {(kx^2 + 5, if x le 1), (2, if x gt 1):} is continuous at x = 1

Find the value of k, such that the function f(x) = {(k(x^2-2x), if x = 0):} at x=0 is continuous.

If the function f(x)={{:(k +x, "for " x lt1),(4x+3, "for " x ge1):} is continuous at x=1 then k=

For what value of k, the function f(x)={kx^(2),quad if x<=2 and 3,quad if x<2 is continuous?

Q.Determinethe 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)={kx^(2),quad if x 2 is continuous at x=2

The value of k, so that the function f(x)={:{(kx)-5k, xle2),(3,xgt2):} is continuous at x = 2, is:

If the function f(x) = {(kx + 5 ", when " x le 2),(x -1 ", when " x gt 2):} is continuous at x = 2 then k = ?

XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Find the derivative of cos(2x+1) w.r.t. x from first principle.

    Text Solution

    |

  2. Evaluate: l i m xvecoo\ ((sqrt(1+x)\ -\ sqrt(1-x))/(sin^(-1)x))

    Text Solution

    |

  3. Find the value of k for which the function f(x)={k x+5, if\ x\ lt=2x-...

    Text Solution

    |

  4. Solve the following differential equation : ("x"^2-1)"dy"/("dx")+2"x...

    Text Solution

    |

  5. Using integration calculate the area of the region bounded by the t...

    Text Solution

    |

  6. Evaluate int0^2(2x^2+\ x+5)dx as limit of a sum.

    Text Solution

    |

  7. Solve the following differentia equation: ("y"^2-"x"^2)"dy"=3"x ydx...

    Text Solution

    |

  8. Verify that "y"="A c o s x"-"B s i nx" is solution of the differenti...

    Text Solution

    |

  9. A window is in the form of a rectangle surmounted by a semi-circle....

    Text Solution

    |

  10. An open box, with a square base, is to be made out of a given quantity...

    Text Solution

    |

  11. Find the intervals in which the function f(x)=x^3-12x^2+36x+17 is (a)...

    Text Solution

    |

  12. Evaluate: int sqrt(tan theta d theta"\)

    Text Solution

    |

  13. Using matrices, solve the following system of equations: 3x-y+z=5 ,...

    Text Solution

    |

  14. Differentiate " "sqrt("tan x")" w"dot"r"dot"t"dot x from first princi...

    Text Solution

    |

  15. Evaluate: (lim)(xvecoo)sqrt(x^2+x+1)-x

    Text Solution

    |

  16. Prove that int"o"^"a""f"("x")"dx"=""int"o"^"a""f "("a"-"x")"dx"dot

    Text Solution

    |

  17. Evaluate : int("x"^2+1)/(("x"+1)^2)"dx"

    Text Solution

    |

  18. Evaluate : int("dx")/("x"^3+"x"^2+"x"+1)

    Text Solution

    |

  19. Evaluate int0^2("x"^2+"\ x"+2) as lim it of sums.

    Text Solution

    |

  20. Find the area of the region bounded by the parabola "x"^2=4"y\ " an...

    Text Solution

    |