Home
Class 12
MATHS
The set of solution of inequality [x]^2=...

The set of solution of inequality `[x]^2=-[x],` where [.] denotes greatest integer function is (a)`{-1,0}` (b) `[-1,0]` (c)`[0,2]` (d) `[-1,1)`

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

Solution set of [sin^-1 x]gt [cos^-1 x] . where [*] denotes greatest integer function

lim_(xrarr0) x^8[(1)/(x^3)] , where [.] ,denotes the greatest integer function is

The solution set of the equation [x]^(2) +[x+1] -3=0, where [.] represents greatest integeral function is :

The value of int_(-2)^1 [x[1+cos((pix)/2)]+1] dx, where [.] denotes greatest integer function is

The value of int_0^100 [tan^-1 x]dx is, (where [*] denotes greatest integer function)

The value of the integral int_(0)^(0.9) [x-2[x]] dx , where [.] denotes the greatest integer function, is

The complete solution set of the inequality [cot^(-1)x]^2-6[cot^(-1)x]+9leq0 where [ ] denotes greatest integer function, is

The range of the function y=[x^2]-[x]^2 x in [0,2] (where [] denotes the greatest integer function), is

The domain of the function f(x)=1/(sqrt([x]^2-2[x]-8)) is, where [*] denotes greatest integer function

The function f(x)=1+x(sinx)[cosx], 0ltxlepi//2 , where [.] denotes greatest integer function

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. The interior angle bisector of angle P for the trangle P Q R whose coo...

    Text Solution

    |

  2. The graph of function f(1)(x)={[1,ifxle0],[x^2+1,if0ltxlt2] },f(2)(x)=...

    Text Solution

    |

  3. The set of solution of inequality [x]^2=-[x], where [.] denotes greate...

    Text Solution

    |

  4. ("lim")(x->0)[(sin(sgn(x)))/((sgn(x)))], where[dot] denotes the greate...

    Text Solution

    |

  5. The radius of the circle which touches the co-ordinates axes and the ...

    Text Solution

    |

  6. Two vertices of a rectangle are on the positive x-axis. The other two ...

    Text Solution

    |

  7. Equation of a circle of radius 2 and touching the circles x^2+y^2-4|x|...

    Text Solution

    |

  8. Solve: |[x^2-1, x^2+2x+1, 2x^2+3x+1], [2x^2+x-1, 2x^2+5x-3, 2x^2+4x-3...

    Text Solution

    |

  9. The sides of a triangle are the straight lines x+y=1,7y=x , and sqrt(3...

    Text Solution

    |

  10. Let f(x)={x^2-4x+3,x<3 and x-4,xgeq3 }a n d g(x)={1,x<1 and ...

    Text Solution

    |

  11. The equation of perpendicular bisectors of the side AB and AC of a tri...

    Text Solution

    |

  12. If vec a= vec b+ vec c , vec b X vecd= vec0 and vec c*vec d=0 then (...

    Text Solution

    |

  13. A rectangle PQRS has its side PQ parallel to the line y= mx and vertic...

    Text Solution

    |

  14. Let f(x) = max{|x^2 - 2 |x||,|x|} and g(x) = min{|x^2 - 2|x||, |x|} th...

    Text Solution

    |

  15. if alpha,beta be the roots of the equation (x-a)(x-b)+x=0(c ne0), then...

    Text Solution

    |

  16. The value of int (sin x cos x)/(sqrt(1-sin^(4)x)) dx is equal to :

    Text Solution

    |

  17. If A+B+C=pi , then the value of the determinant D=|sin^2AcotA1sin^2Bc...

    Text Solution

    |

  18. Evaluate a,b,c and d if lim(xto oo)(sqrt(x^(4)+ax^(3)+3x^(2)+bx+2)-s...

    Text Solution

    |

  19. For all real value of x , the maximum value of the expression x/(x^2-5...

    Text Solution

    |

  20. If minimum of f(x)=(a)/(x)+bx at x=2 is 2, then (a, b) -=….

    Text Solution

    |