Home
Class 12
MATHS
Number of solution of equation [x]^2=x+2...

Number of solution of equation `[x]^2=x+2{x}` is/are , where [.] and {.} denote the greatest integer and the fractional part functions, respectively

Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE PUBLICATION|Exercise Archives (Numerical Value Type)|3 Videos
  • SCALER TRIPLE PRODUCTS

    CENGAGE PUBLICATION|Exercise DPP 2.3|11 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.

Number of solutions of the equation [2x] - 3{2x} = 1 is (where [/] and {.} denote greatest integer and fractional part function respectively)

If f(x)=(tanx)/(x) , then find lim_(xto0)([f(x)]+x^(2))^((1)/({f(x)})) , where [.] and {.} denotes greatest integer and fractional part function respectively.

Find the value of int_(-1)^(1)[x^(2)+{x}]dx , where [.] and {.} denote the greatest function and fractional parts of x , respectiely.

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

The range of the function f defined by f(x)=[1/(sin{x})] (where [.] and {dot}, respectively, denote the greatest integer and the fractional part functions) is

In the questions, [x]a n d{x} represent the greatest integer function and the fractional part function, respectively. Solve: [x]^2-5[x]+6=0.

Which of the following is/are not functions ([.]) and {.} denote the greatest integer and fractional part functions, respectively? (a) 1/(1n(1-|x|)) (b) (x !)/({x}) (c) x !{x} (d) (1n(x-1))/(sqrt((1-x^2)))

Solve (x-2)[x]={x}-1, (where [x]a n d{x} denote the greatest integer function less than or equal to x and the fractional part function, respectively).

Discuss the differentiability of f(x) =[x]+ sqrt({x})), where [.] and {.} denote the greatest integer function and fractional part repectively .

CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. If a polynomial function f(x) satisfies f(f(f(x))=8x+21 , where p and ...

    Text Solution

    |

  2. If f(2x+y/8,2x-y/8)=x y , then f(m , n)+f(n,m)=0 (a) only when m=n (...

    Text Solution

    |

  3. Number of solution of equation [x]^2=x+2{x} is/are , where [.] and {.}...

    Text Solution

    |

  4. The range of f(x)=[1+sinx]+[2+sin(x/2)]+[3+sin (x/3)]+....+[n+sin (x/n...

    Text Solution

    |

  5. The domain of the function f(x)=sqrt(log((|x|-1))(x^2+4x+4)) is (a) ...

    Text Solution

    |

  6. The number of roots of x^2-2=[sinx],w h e r e[dot] stands for the grea...

    Text Solution

    |

  7. Let f(x)=sqrt(|x|-{x})(w h e r e{dot} denotes the fractional part of ...

    Text Solution

    |

  8. Let [x] represent the greatest integer less than or equal to x If [...

    Text Solution

    |

  9. The period of the function f(x)=c^((sin^2x+sin^(2(x+pi/3))+cosxcos(x+p...

    Text Solution

    |

  10. If f(x)a n dg(x) are periodic functions with periods 7 and 11, respect...

    Text Solution

    |

  11. Find the range of the following function f(x)=sin^(-1)[x^2+1/2]+cos^(...

    Text Solution

    |

  12. The domain of f(x)=sqrt(2{x}^2-3{x}+1), where {.} denotes the fraction...

    Text Solution

    |

  13. If g(f(x))=|sinx|a n df(g(x))=(sinsqrt(x))^2 , then a) f(x)=sin^2x ,g...

    Text Solution

    |

  14. Each question has four choices, a,b,c and d,out of which only one is ...

    Text Solution

    |

  15. Let f(n)=1+1/2+1/3++1/ndot Then f(1)+f(2)+f(3)++f(n) is equal to (a)...

    Text Solution

    |

  16. Statement-1 : Solution of (1 + xsqrt(x^2+y^2) ) dx + y (-1 +sqrt(x^2+y...

    Text Solution

    |

  17. If f: R→R ,g(x)=f(x)+3x-1, then the least value of function y=g(|x|) i...

    Text Solution

    |

  18. Let f: R->R be given by f(x)=x^2-3 . Then, f^(-1) is given by (a)sqrt(...

    Text Solution

    |

  19. Let f(x)=(ax + b )/(cx+d). Then the fof (x)=x, provided that : (a!=0,...

    Text Solution

    |

  20. If a function satisfies (x-y) f(x+y)-(x+y) f(x-y) = 2(x^2y - y^3), AA ...

    Text Solution

    |