Home
Class 12
MATHS
The number of integer belonging to the i...

The number of integer belonging to the interval `[-3, 30]` but not belonging to the range of the function `f(x)=x{x}-x[-x],x in R ,i slambdadot` Find the value of `lambda-5.` (where `[dot]` and `{dot}` denotes the greatest integer function and fractional part respectively).

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Solve 2[x]=x+{x},where [.] and {} denote the greatest integer function and the fractional part function, respectively.

Solve the equation [x]{x}=x, where [] and {} denote the greatest integer function and fractional part, respectively.

Find the value of int_(-1)^1[x^2+{x}]dx ,w h e r e[dot]a n d{dot} denote the greatest function and fractional parts of x , respectively.

Solve 2[x]=x+{x},w h r e[]a n d{} denote the greatest integer function and the fractional part function, respectively.

f(x)=[x^(2)]-{x}^(2), where [.] and {.} denote the greatest integer function and the fractional part function , respectively , is

The value of int_(0)^(|x|){x} dx (where [*] and {*} denotes greatest integer and fraction part function respectively) is

Solve : [x]^(2)=x+2{x}, where [.] and {.} denote the greatest integer and the fractional part functions, respectively.

Find the solution of the equation [x] + {-x} = 2x, (where [*] and {*} represents greatest integer function and fractional part function respectively.

Solve : 4{x}= x+ [x] (where [*] denotes the greatest integer function and {*} denotes the fractional part function.

If f(x) = [x^2] + sqrt({x}^2 , where [] and {.} denote the greatest integer and fractional part functions respectively,then

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Two functions f(x)a n dg(x) are defined as f(x)=(log)3|(x-2)/(x^2-10 x...

    Text Solution

    |

  2. Find the value of (23.17)^((1)/(5.76)) using log table.

    Text Solution

    |

  3. The number of integer belonging to the interval [-3, 30] but not belon...

    Text Solution

    |

  4. If A=[{:(1,-1,1),(0,2,-3),(2,1,0):}] and B=(adjA) and C=5A, then find ...

    Text Solution

    |

  5. Find number of digits in 18^20

    Text Solution

    |

  6. Consider the function f(x)=(sec^(-1)x)^2+(cos e c^(-1)x)^2 then Range ...

    Text Solution

    |

  7. It the first and (2n-1)^(th) terms of an A.P.,a G.P. and an H.P. of po...

    Text Solution

    |

  8. A right triangle ABC with sides 5 cm, 12 cm and 13 cm is revolved a...

    Text Solution

    |

  9. Which of the following statements are incorrect? I. If f(x) and g(x) a...

    Text Solution

    |

  10. Find the value of x satisfying the equation ((log)3 root(3)(3x)+(log)x...

    Text Solution

    |

  11. A relation R is defined on the set of circles such that "C(1)RC(2)impl...

    Text Solution

    |

  12. Let a(1),a(2),a(3), be three positive numbers which are G.P. with comm...

    Text Solution

    |

  13. If A(1,p^2),B(0,1) and C(p ,0) are the coordinates of three points, th...

    Text Solution

    |

  14. Which of the following set of value of x satisfy the inequality x^2-4x...

    Text Solution

    |

  15. The value of k for which product of two of the roots of the equation x...

    Text Solution

    |

  16. If A=[(a,b,c),(b,c,a),(c,a,b)],abc=1,A^(T)A=l, then find the value of ...

    Text Solution

    |

  17. If the equation of plane containing the line x-y+z=0a n dx+y+z-2=0 and...

    Text Solution

    |

  18. Find the number of common terms to the two sequences 17, 21, 25, 417 a...

    Text Solution

    |

  19. Point A lies on the line y=2x and the sum of its abscissa and ordinate...

    Text Solution

    |

  20. Find the value of 'k' for which the following set of quadratic equatio...

    Text Solution

    |