Home
Class 11
MATHS
Let{x} and [x] denote the fractional and...

Let{x} and [x] denote the fractional and integral parts of a real number x respectively.Solve 4{x}=x+[x]

Promotional Banner

Topper's Solved these Questions

  • 3D-GEOMETRY

    PATHFINDER|Exercise QUESTION BANK|39 Videos
  • BINOMIAL THEOREM

    PATHFINDER|Exercise QUESTION BANK|225 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=e^({e^(|x|sgnx)})a n dg(x)=e^([e^(|x|sgnx)]),x in R , where { } and [ ] denote the fractional and integral part functions, respectively. Also, h(x)=ln(f(x))+ln(g(x)) . Then for real x , h(x) is

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

Let f(x) denote the fractional part of a real number x. Then the value of int_0^sqrt3 f(x^2) dx is

Let f(x) denote the fractional part of a real number x. Then the value of int_(0)^(sqrt(3))f(x^(2))dx 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.

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

If int_(0)^(x) [x] dx = int_(0)^([x]) xdx, x notin integer (where, [.] and {.} denotes the greatest integer and fractional parts respectively, then the value of 4{x} is equal to …

Let [x] denote the greatest integer less than or equal to x for any real number x. Then lim_(n to oo) ([n sqrt(2)])/(n) is equal to

Let [x] denote the greatest integer less than or equal to x for any real number x. Then underset(n tooo)lim([nsqrt(2)])/(n) is equal to-

In the questions, [x]a n d{x} represent the greatest integer function and the fractional part function, respectively. If y=3[x]+1=4[x-1]-10 , then find the value of [x+2y]dot

PATHFINDER-BASIC MATHEMATICS-QUESTION BANK
  1. Solve the following differential equations : tan x cdotcos^2ydx+tan ...

    Text Solution

    |

  2. Solve the following differential equations : x(1+y^2)dx+y(1+x^2)dy=0...

    Text Solution

    |

  3. Let{x} and [x] denote the fractional and integral parts of a real numb...

    Text Solution

    |

  4. If y = 2[x]+3 and y = 3[x-2]+5 and find [x+y]

    Text Solution

    |

  5. Solve abs([x]-2x)=4

    Text Solution

    |

  6. Solve (x)^2+(x+1)^2=25 {where (x) denotes the least integer function}

    Text Solution

    |

  7. If 0ltxlt1000 and [x/2]+[x/3]+[x/5]=31/30x, where [x] is the greatest...

    Text Solution

    |

  8. Resolve x^2/((x-1)(x-2)(x-3)) into partial fractions.

    Text Solution

    |

  9. Resolve (x^4-x^2+1)/(x^2(x^2+1)^2 into partial fractions.

    Text Solution

    |

  10. Resolve (2x^2-11x+5)/((x-3)(x^2+2x+5)) into partial fractions.

    Text Solution

    |

  11. If A={a,b,c,d,e}:B={c,d,e,f,g} and S={a,b,c,d,e,f,g,h,i,j}. Then evalu...

    Text Solution

    |

  12. If A={a,b,c,d,e}:B={c,d,e,f,g} and S={a,b,c,d,e,f,g,h,i,j}. Then evalu...

    Text Solution

    |

  13. If A={a,b,c,d,e}:B={c,d,e,f,g} and S={a,b,c,d,e,f,g,h,i,j}. Then evalu...

    Text Solution

    |

  14. If A={a,b,c,d,e}:B={c,d,e,f,g} and S={a,b,c,d,e,f,g,h,i,j}. Then evalu...

    Text Solution

    |

  15. If A={a,b,c,d,e}:B={c,d,e,f,g} and S={a,b,c,d,e,f,g,h,i,j}. Then evalu...

    Text Solution

    |

  16. If A={a,b,c,d,e}:B={c,d,e,f,g} and S={a,b,c,d,e,f,g,h,i,j}. Then evalu...

    Text Solution

    |

  17. If A={a,b,c,d,e}:B={c,d,e,f,g} and S={a,b,c,d,e,f,g,h,i,j}. Then evalu...

    Text Solution

    |

  18. Find AcupB,A capB,A-B and B-A If A={x, x in R} : B = {x,absx le3}

    Text Solution

    |

  19. In a set S contains n elements. Find the total no. of non void subject...

    Text Solution

    |

  20. Consider a number N=21P53Q4 .Number of ordered pairs (P,Q) so that the...

    Text Solution

    |