Home
Class 12
MATHS
Let the solution set of the equation sqr...

Let the solution set of the equation `sqrt([x+[x/2]])+[sqrt({x})+[x/3]]=3` is `[a,b).` Find the product ab. (where `[*] and {*}` denote greatest integer and fractional part function, respectively).

Promotional Banner

Topper's Solved these Questions

  • FUNCTION

    VK JAISWAL|Exercise MATCHING TYPE PROBLEMS|7 Videos

  • ELLIPSE

    VK JAISWAL|Exercise Exercise-4 : Subjective Type Problems|2 Videos

  • HYPERBOLA

    VK JAISWAL|Exercise Exercise-4 : Subjective Type Problems|3 Videos

Similar Questions

Explore conceptually related problems

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.

The range of function f(x)=log_(x)([x]), where [.] and {.} denotes greatest integer and fractional part function respectively

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

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

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

Solve the equation [x]+{-x}=2x, (where [.l and {} represents greatest integer function fractional part function respectively)

Range of the function f defined by (x) =[(1)/(sin{x})] (where [.] and {x} denotes greatest integer and fractional part of x respectively) is

VK JAISWAL-FUNCTION -SUBJECTIVE TYPE PROBLEMS
  1. If P (x) is polynomial of degree 4 such than P (-1)=P (1) =5 and P (-2...

    Text Solution

    |

  2. The number of integral vlaue (s) of k for which the curve y = sqrt ( ...

    Text Solution

    |

  3. Let the solution set of the equation sqrt([x+[x/2]])+[sqrt({x})+[x/3]]...

    Text Solution

    |

  4. For the real number x, let f (x)=(1)/( ""^(2011sqrt(1-x^(2011)))). Fi...

    Text Solution

    |

  5. Find the number of elements contained in the range of the function f (...

    Text Solution

    |

  6. Let f (x,y)= x^(2) - y^(2) and g (x,y) = 2xy. such that (f ( x,y))^(2)...

    Text Solution

    |

  7. Let f (x) = (x+5)/(sqrt(x^(2)) +1) AA x in R, then the smallest integr...

    Text Solution

    |

  8. The number of integral vaues of which f : R to R ,f (x) = (x ^(2))/(3)...

    Text Solution

    |

  9. The number of roots of equation ((x-1)(x-3))/((x-2)(x-4))-e^(x)) ((x+1...

    Text Solution

    |

  10. Let f(x)=x^2-bx+c,b is an odd positive integer. Given that f(x)=0 ha...

    Text Solution

    |

  11. Let f(x) be a continuous function such that f(0) = 1 and f(x)=f(x/7)=x...

    Text Solution

    |

  12. If f (x) = 4x ^(3) -x ^(2) -2x +1 and g (x) = {{:(min {f(t): 0 le t le...

    Text Solution

    |

  13. If x=10 sum(r=3) ^(100) (1)/((r ^(2) -4)), then [x]= (where [.] deno...

    Text Solution

    |

  14. Let f x = (ax+b)/(xa+d), where a,b,c d are non zero If f (7) =7,f (11)...

    Text Solution

    |

  15. Let A = {x|x ^(2) -4x+ 3 lt 0 , x in R} If A subB, then the rang of ...

    Text Solution

    |

  16. Let the maximum value of expression y= (x ^(4)-x ^(2))/(x ^(6) + 2x ^(...

    Text Solution

    |

  17. If f(x) is an even function then find the number of distinct real numb...

    Text Solution

    |

  18. The least integral value of m, m inR for which the range of function ...

    Text Solution

    |

  19. Let x1, x2, x3 satisfying the equation x^3 - x^2 + betax + gamma = 0 ...

    Text Solution

    |

  20. If underset(r=1)overset(n)sum [log(2) r]=2010 where [.] denotes great...

    Text Solution

    |