Home
Class 12
MATHS
Which of the following intervals is p...

Which of the following intervals is possible domain of the function `f(x)=(log)_((x))[x]+(log)_([x]){x}` , where [x] is the greatest integer not exceeding `xa n d{x}=x-[x]?` `(0,1)` (b) (1,2) (c) (2, 3) (d) (3, 5)

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Which of thefolowing intervals is a possible domain of the function f(x)=log_({x})[x]+log_({x}){x}. where {x} is the greatest integer not exceding x and {x}=x-[x]?

The domain of the function f(x)=(log)_(3+x)(x^(2)-1) is

the domain of the function f(x)=log_(3+x)(x^(2)-1) is

The domain of the function f(x)=log_(3+x)(x^(2)-1) is

The domain of the function f(x)=([x+3]-x)/([x-5](x-[x])) is (where [ ] is the greatest integer function

Find the domain of the function f(x)=log_(e)(x-[x]) , where [.] denotes the greatest integer function.

The domain of the function f(x)= ln([[x]]/(5-[x])) where [ . ] denotes the greatest integer function is

The domain of the function f(x)=log_([x+(1)/(2)])|x^(2)-x-6|* where [] denotes the greatest integer function,is

Find range of the function f(x)=log_(2)[3x-[x+[x+[x]]]] (where [.] is greatest integer function)

RESONANCE DPP-JEE MAINS-All Questions
  1. The circle x^2+y^2-4x-2y=11 makes equal intercepts on the lines L1: x...

    Text Solution

    |

  2. If A=([a(i j)])(3x3') such that a(i j)={2,,i=j0,i!=j ,t h e n |A|=8 ...

    Text Solution

    |

  3. Which of the following intervals is possible domain of the function...

    Text Solution

    |

  4. The domain of the function f(x)=1/(sqrt(^(10)C(x-1)-3.^(10)Cx)) conta...

    Text Solution

    |

  5. The set of values of lambda for which the vectors vec a=(lambda(log)2...

    Text Solution

    |

  6. Which of the following is true?

    Text Solution

    |

  7. Show that the substitution z=ln(tan(x/2)) changes the equation (d^2y)/...

    Text Solution

    |

  8. If cosx/2dotcosx/(2^2)dotcosx/(2^3)oo=(sinx)/x , then find the value o...

    Text Solution

    |

  9. If f(x)=log((1+x)/(1-x)),t h e n (a)f(x1)f(x)=f(x1+x2) (b)f(x+...

    Text Solution

    |

  10. If f(x)=|"cos"(x+x^2)"sin"(x+x^2)-"cos"(x+x^2)"sin"(x-x^2)"cos"(x-x^2...

    Text Solution

    |

  11. If y=(sin^(-1)x)^2+(cos^(-1)x)^2 , then (1-x^2) (d^2y)/(dx^2)-x(dy)/(d...

    Text Solution

    |

  12. Let f:(-1,1)vecR be a differentiable function with f(0)=-1 and f^(prim...

    Text Solution

    |

  13. Let y be an implicit function of x defined by x^(2x)-2x^xcot y-1=0....

    Text Solution

    |

  14. If x^m y^n=(x+y)^(m+n), then (dy)/(dx) is (x+y)/(x y) (b) x y (c) x/...

    Text Solution

    |

  15. The function f(x)=sqrt((a x^3+b x^2+c x+a)) ha sits non-zero local m...

    Text Solution

    |

  16. If f(x),g(x),h(x) are polynomials in x of degree 2 and F(x)=|fghf'g' h...

    Text Solution

    |

  17. STATEMENT 1 : When a polynomial P(x)(d egr e e >2) is divided by (x-1)...

    Text Solution

    |

  18. If 8f(x)+6f(1/x)=x+5 and y=x^2(f(x), then (dy)/(dx) at x=-1 is equal t...

    Text Solution

    |

  19. |x-1|+|x-2|+|x-3|geq6

    Text Solution

    |

  20. The complete solution set of the inequation sqrt(x+18)<2-x , is (-18 ,...

    Text Solution

    |