Home
Class 12
MATHS
If [x]^(2)-5[x]+6=0, where [.] denotes t...

If `[x]^(2)-5[x]+6=0`, where `[.]` denotes the greatest integer function, then :

A

`x in [3, 4]`

B

`x in [2, 3]`

C

`x in [2, 3]`

D

`x in [2, 4)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS AND EXPRESSION

    HIMALAYA PUBLICATION|Exercise Question Bank|129 Videos
  • STATISTICS MEASURE OF DIPERSION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|28 Videos

Similar Questions

Explore conceptually related problems

If 0 lt x lt 1000 and [x/2]+[x/3]+[x/5]=31/30x , (where [.] denotes the greatest integer function then number of possible values of x.

Find number of solutions for equation [sin^(-1)x]=x-[x] , where [.] denotes the greatest integer function.

If f(x)=(sin([x]pi))/(x^2+x+1) , where [dot] denotes the greatest integer function, then

The equation x^2 - 2 = [sin x], where [.] denotes the greatest integer function, has

Find the values of x graphically which satisfy, -1le[x]-x^(2)+4le2 , where [.] denotes the greatest integer function.

Sketch the curves (iii) y=|[x]+sqrt(x-[x])| (where [.] denotes the greatest integer function). (where [.] denotes the greatest integer function).

Sketch the curves (iii) y=|[x]+sqrt(x-[x])| (where [.] denotes the greatest integer function). (where [.] denotes the greatest integer function).

If [sin x]+[sqrt(2) cos x]=-3 , x in [0,2pi] , (where ,[.] denotes th greatest integer function ), then

lim_(x rarr oo) (logx^(n)-[x])/([x]) , where n in N and [.] denotes the greatest integer function, is

HIMALAYA PUBLICATION-SETS,RELATIONS AND FUNCTIONS-QUESTION BANK
  1. If a set A contains 5 elements and the set B contains 6 elements, then...

    Text Solution

    |

  2. Let A = {1, 2, 3, …..., n} and B = {a, b}. Then the number of surjecti...

    Text Solution

    |

  3. If [x]^(2)-5[x]+6=0, where [.] denotes the greatest integer function, ...

    Text Solution

    |

  4. Range of f(x) = (1)/(1-2cosx) is

    Text Solution

    |

  5. Let f(x)=sqrt(1+x^(2)), then :

    Text Solution

    |

  6. Domain of sqrt(a^(2)-x^(2))(a>0) is :

    Text Solution

    |

  7. If f(x)=ax+b where a and b are integers, f(-1)=-5andf(3)=3, then a and...

    Text Solution

    |

  8. The domain of the function f defined by : f(x)=sqrt(4-x)+(1)/(sqrt(x^(...

    Text Solution

    |

  9. The domain and range of real function f defined by : f(x)=(4-x)/(x-4) ...

    Text Solution

    |

  10. The domain and range of real function f defined by f(x)=sqrt(x-1) is g...

    Text Solution

    |

  11. Find the domain of the function f(x)=(x^(2)+3x+5)/(x^(2)-5x+4)

    Text Solution

    |

  12. The domain and range of the function f given by : f(x)=2-|x-5| is :

    Text Solution

    |

  13. The domain for which the function defined by f(x) = 3x^2-1 and g(x) = ...

    Text Solution

    |

  14. Let f: R rarr R be defined by f(x)= (1)/(x) AA x inR, then f is

    Text Solution

    |

  15. Let f : R rarr R be defined by f(x) = 3x^2-5 and g : R rarr R by g(x...

    Text Solution

    |

  16. Which of the following functions from Z into Z is a bijection?

    Text Solution

    |

  17. Let f : R rarr R be a function defined by f(x) = x^3 + 5. Then f^-1(x)...

    Text Solution

    |

  18. Let f: A rarr B and g : B rarr C be the bijective funtions. Then (gof...

    Text Solution

    |

  19. If f(x)=(3x+2)/(5x-3), then :

    Text Solution

    |

  20. Let,f : [0,1] rarr [0, 1] be defined by f(x) = {(x, if x \ is \ rat...

    Text Solution

    |