Home
Class 11
MATHS
If f(x)={{:(kx^(2),"for",xle2),(5,"for",...

If `f(x)={{:(kx^(2),"for",xle2),(5,"for", x gt2):}` is continuous at `x=2` then the value of k is …………..

A

`(5)/(4)`

B

0

C

1

D

`(4)/(5)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER - 2

    FULL MARKS|Exercise PART - II|10 Videos

  • SAMPLE PAPER - 2

    FULL MARKS|Exercise PART - III|17 Videos

  • SAMPLE PAPER - 01

    FULL MARKS|Exercise PART - III|16 Videos

  • SAMPLE PAPER - 3

    FULL MARKS|Exercise PART - IV|7 Videos

Similar Questions

Explore conceptually related problems

If f(x) = {{:(kx , "for ". x le 2),(3, "for " x gt 2):} is continuous at x=2 then the value of k is ………………………. .

If f(x)={{:(kx^2" for "x le 2),(4 " for "x gt 2):} is continuous at x=2 then the value of k si

If the function f(x)=(x^2-(A+2)x+A)/(x-2),forx!=2a n df(2)=2, is continuous at x=2, then find the value of Adot

If f(x) = {(kx^(2),0ltxlt 3),(0,"elsewhere"):} is a probability density function then the value of k is ……. .

f(x)={{:(x^(2)", "xle2),(8-2x", "2ltxlt4),(4", "xge4):}

For what value of lambda is the function defined by f(x)={{:(lambda(x^(2)-2x)," if "x le 0),(4x+1," if "x gt 0):} continuous at x= 0? What about continuity at x =1?

If the function f(x)=((128 a+a x)^(1/8)-2)/((32+b x)^(1/5)-2) is continuous at x=0 , then the value of a/b is (A) 3/5f(0) (B) 2^(8/5)f(0) (C) (64)/5f(0) (D) none of these

If f(x)=(x^2-bx+25)/(x^2-7x+10) for x!=5 and f is continuous at x=5 then f(5)=

The probability density function of X is given by f(x)={{:(kxe^(-2x), "for " x gt 0), (0, "for " x le 0):} Find the value of k.

FULL MARKS-SAMPLE PAPER - 2-PART - III
  1. If f(x)={{:(kx^(2),"for",xle2),(5,"for", x gt2):} is continuous at x=2...

    Text Solution

    |

  2. Let A={a,b,c} and R={(a,a), (b,b),(a,c)}. Write down the minimum numb...

    Text Solution

    |

  3. Solve: 2|x+1|-6 le 7 and graph the solution set in a number line.

    Text Solution

    |

  4. If the different permutantions of all letters of the word BHASKARA are...

    Text Solution

    |

  5. Find the sum up to n terms of the series : 1+(6)/(7)+(11)/(49)+(16)/(3...

    Text Solution

    |

  6. Area of the triangle formed by a line with the coordinate axes, is 36 ...

    Text Solution

    |

  7. If A^(T)=((4,5),(-1,0),(2,3)) and B=((2,-1,1),(7,5,-2)) verify that (A...

    Text Solution

    |

  8. For any vector veca prove that |veca xxhati|^(2)+|vecaxxhatj|^(2)+|vec...

    Text Solution

    |

  9. Given y=cos^(-1)((1-x^(2))/(1+x^(2))) find (dy)/(dx)

    Text Solution

    |

  10. A wound is healing in such a way that t days since Sunday the area of ...

    Text Solution

    |

  11. An integer is chosen at random from the first 50 positive integers. Wh...

    Text Solution

    |

  12. If f:R rarr R is defined by f(x)=2x-3 prove that f is a bijection and ...

    Text Solution

    |

  13. If the equations x^(2)-ax+b=0 and x^(2)-ex+f=0 have one root in common...

    Text Solution

    |

  14. A straight line passes through a fixed point (6, 8). Find the locus of...

    Text Solution

    |

  15. Express the matrix A=[(1,3,5),(-6,8,3),(-4,6,5)] as the sum of a symme...

    Text Solution

    |

  16. If y=e^(tan^(-1)x), show that (1+x^(2))y''+(2x-1)y'=0

    Text Solution

    |

  17. Evaluate: int 2sin^(-1)xdx

    Text Solution

    |

  18. A factory has two machines A and B. Machine A produces 40% of items of...

    Text Solution

    |