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

A

`(-1,0)uu(0,1)`

B

`(1,2)`

C

`(-2,-1)`

D

`(-oo,-2)uu(2,oo)`

Text Solution

Verified by Experts

The correct Answer is:
a
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATION

    MOTION|Exercise EXERCISE -3 (SUBJECTIVE)|36 Videos

  • PERMUTATION AND COMBINATION

    MOTION|Exercise EXAMPLE|23 Videos

  • SEQUENCE & SERIES

    MOTION|Exercise Exercise -4 Level -II Previous Year /JEE Advanced|22 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 x) has no integral solution, then all possible values of a lie in the interval (1) (-1,""0)uu(0,""1) (2) (1, 2) (3) (-2,-1) (4) (-oo,-2)uu(2,oo)

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 le x , then number of solutions of the equation x^(2) - 2 - 2 [x] =0 is

The value of the integral, int_1^3 [x^2-2x–2]dx , where [x] denotes the greatest integer less than or equal to x, is :

If (x)={x[x],0<=x<=2 and (x-1)[x],2<=x<=3,where [x] denotes the greatest integer function, then

Evaluate int_(0)^(oo)[(3)/(x^(2)+1)]dx where [.] denotes the greatest integer function.

Find the values of x graphically satisfying [x]-1+x^(2)le0 where [.] denotes the greatest integer function.

If [x] denotes the greatest integer less than or equal to x, then evaluate lim_(n rarr oo)(1)/(n^(3)){[1^(2)x]+[2^(2)x]+[3^(2)x]+...}[n^(2)x]}

The domain of f(x)=log_((1)/(2))log_(4)log_(4)[x-lambda]^(2) (where [1 denotes the greatest integer function is (-oo,2]uu[6,oo) then the value of lambda is

MOTION-QUADRATIC EQUATION-EXERCISE 4 (PREVIOUS YEAR| JEE MAIN)
  1. 8. Sachin and Rahul attempted to solve a quadratic equation. Sachin ma...

    Text Solution

    |

  2. Show that the equation e^(sinx)-e^(-sinx)-4=0 has no real solution.

    Text Solution

    |

  3. The real number k for which the equation, 2x^3+""3x""+""k""=""0 has tw...

    Text Solution

    |

  4. If the equation x^(2)+2x+3=0 and ax^(2)+bx+c=0, a,b,c in R have a comm...

    Text Solution

    |

  5. Let alpha and beta be the roots of equation px^2 + qx + r = 0 , p != ...

    Text Solution

    |

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

    Text Solution

    |

  7. Let alpha and beta be the roots of equation x^2-6x-2""=""0 . If an=...

    Text Solution

    |

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

    Text Solution

    |

  9. Let f(x)=(x^(2)-6x+5)/(x^(2)-5x+6) Match the expressions/ statements i...

    Text Solution

    |

  10. Let a,b,c,p,q be the real numbers. Suppose alpha,beta are the roots of...

    Text Solution

    |

  11. The smallest value of k, for which both the roots of the equation, x^2...

    Text Solution

    |

  12. Q. Let p and q real number such that p!= 0,p^2!=q and p^2!=-q. if alph...

    Text Solution

    |

  13. Let alpha and beta be the roots of x^2-6x-2=0 with alpha>beta if an=al...

    Text Solution

    |

  14. A value of b for which the equation x^2+b x-1=0,x^2+x+b=0 have one roo...

    Text Solution

    |

  15. Let a in R and let f: R to R be given by f(x) =x^(5) -5x+a. then

    Text Solution

    |

  16. The quadratic equation p(x)=0 with real coefficients has purely imagin...

    Text Solution

    |

  17. Let S be the set of all non-zero real numbers such that the quadratic ...

    Text Solution

    |

  18. Let -(pi)/6ltthetalt -(pi)/12. Suppose alpha(1) and beta(1) are the ro...

    Text Solution

    |

  19. Let p ,q be integers and let alpha,beta be the roots of the equation, ...

    Text Solution

    |

  20. Let p ,q be integers and let alpha,beta be the roots of the equation, ...

    Text Solution

    |