Home
Class 12
MATHS
If a in R and the equation =-3(x-[x])^(2...

If `a in R` and the equation `=-3(x-[x])^(2)+2(x-[x])+a^(2)=0`
(where [x] denotes the greatest integer `le x`) has no integral solution, then all posible values of a lie in the interval solution, then all possible values of a lie in the interval

A

`(-1,0) cup ( 0,1)`

B

`(1,2)`

C

`(-2,-1)`

D

`(-oo,-2) cup (2,oo)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS & INEQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Main ( Archive ) (Fill in the blanks )|3 Videos

  • PROPERTIES OF TRIANGLE

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|50 Videos

  • QUIZ

    VMC MODULES ENGLISH|Exercise MATHEMATICS|30 Videos

Similar Questions

Explore conceptually related problems

If a in R and the equation -3(x-[x])^2+2(x-[x])+a^2=0 (where [x] denotes the greatest integer le x ) has no integral solution, then all possible values of a lie in the interval: (1) (-2,-1) (2) (oo,-2) uu (2,oo) (3) (-1,0) uu (0,1) (4) (1,2)

If a in R and the equation (a-2) (x-[x])^(2) + 2(x-[x]) + a^(2) = 0 (where [x] denotes the greatest integer function) has no integral solution and has exactly one solution in (2, 3), then a lies in the interval

If [x] denotes the greatest integer less than or equal to x , then find the value of the integral int_0^2x^2[x]dxdot

If [x] denotes the greatest integer less than or equal to x , then find the value of the integral int_0^2x^2[x]dxdot

The equation x^2 - 2 = [sin x], where [.] denotes the greatest integer function, has

if a in R and equation (a-2)(x-[x])^(2)+2(x-[x])+a^(2)=0 (where [x] represent G.I.F) has no integral solution and has exactly one solution in the interval (2,3) then a lies in (alpha,beta) the value of alpha^(2)+3beta^(2) is

Prove that lim_(x->a^+) [x]=[a] for all a in R, where [*] denotes the greatest integer

If [x] denotes the greatest integer less than or equal to x, then the solutions of the equation 2x-2[x]=1 are

Solve the following equations x^(2)-3-{x}=0 where [x] denotes the greatest integer and {x} fractional part.

The number of solutions of |[x]-2x|=43 , where [x] denotes the greatest integer lex is

VMC MODULES ENGLISH-QUADRATIC EQUATIONS & INEQUATIONS -JEE Advance ( Archive )
  1. Let alpha, beta be the roots of the equationpx^(2)+qx+r=0, p!=0. If p,...

    Text Solution

    |

  2. Let p and q real number such that p!= 0,p^3!=q and p^3!=-q. if alpha a...

    Text Solution

    |

  3. Let a,b,c be the sides of a triangle. Now two of them are equal to lam...

    Text Solution

    |

  4. If alpha and beta are the roots of the equation x^2+ax+b=0 and alpha^4...

    Text Solution

    |

  5. The sum of all real values of x satisfying the equation (x^(2) -5x+5)...

    Text Solution

    |

  6. Let a and b are the roots of the equation x^2-10 xc -11d =0 and those...

    Text Solution

    |

  7. If alpha,beta are the roots of a x^2+b x+c=0,(a!=0) and alpha+delta,be...

    Text Solution

    |

  8. If one root of the quadratic equation ax^(2) + bx + c = 0 is equal ...

    Text Solution

    |

  9. If alpha,beta are roots of x^2+-p x+1=0a n dgamma,delta are the roots ...

    Text Solution

    |

  10. If alpha,beta are roots of x^2+-p x+1=0a n dgamma,delta are the roots ...

    Text Solution

    |

  11. If a in R and the equation =-3(x-[x])^(2)+2(x-[x])+a^(2)=0 (where [x...

    Text Solution

    |

  12. If x^(2) + (a - b) x + (1 - a - b) = 0, where a , b in R , then find ...

    Text Solution

    |

  13. Let a ,b ,c be real. If a x^2+b x+c=0 has two real roots alphaa n dbet...

    Text Solution

    |

  14. The smallest value of k for which both roots of the equation x^(2)-8kx...

    Text Solution

    |

  15. Let a, b, c be real numbers, a != 0. If alpha is a zero of a^2 x^2+bx...

    Text Solution

    |

  16. Let alpha,beta be the roots of the equation x^(2)-px+r=0 and alpha//2,...

    Text Solution

    |

  17. Let (x(0), y(0)) be the solution of the following equations: (2x)^("...

    Text Solution

    |

  18. If 3^(x)=4^(x-1), then x is equal to

    Text Solution

    |

  19. The value of 6+ log(3//2) (1/(3sqrt2)sqrt(4-1/(3sqrt2)sqrt(4-1/(3sq...

    Text Solution

    |

  20. The largest interval for whichx^(12)+x^9+x^4-x+1>0 -4<xlt=0 b. 0<x<1 ...

    Text Solution

    |