Home
Class 11
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 :

A

(-2,-1)

B

`(infty,-2)cup(2,infty)`

C

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

D

(1,2)

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|19 Videos
  • RECTANGULAR CO-ORDINATES

    PATHFINDER|Exercise QUESTION BANK|27 Videos

Similar Questions

Explore conceptually related problems

If ain RR and the equation -3(x-[x])^2+2(x-[x])+a^2=0 (where [x] denotes the greatest integer lex) has no integral solution, then all possible values of a lie in the interval____

Solve x^2-4-[x]=0 (where [] denotes the greatest integer function).

If f(x)= [sin^2x] (where [.] denotes the greatest integer function ) then :

The function f(x)=tan{pi[x-pi/2]}/(2+[x^2] , where [x] denotes the greatest integer le x, is

The function f(x) = [x]^2-[x^2] (where [.] denotes the greatest integer function ) is discontinuous at

lim_(xrarr1([x]+[x]) , (where [.] denotes the greatest integer function )

If [x]^2-5[x]+6=0 (where [.] denotes the greatest integer function), then x belongs to

Let f(x) = (x^2-9x+20)/(x-[x]) where [x] denotes greatest integer less than or equal to x ), then

[x] denotes the greatest integer, less than or equal to x, then the value of the integral int_(0)^(2)x^(2)[x]dx equals

If [x+[2x]] lt3 , where [.] denotes the greatest integer function, then x is

PATHFINDER-QUADRATIC EQUATION AND EXPRESSION-QUESTION BANK
  1. Which of the following is/are always false ?

    Text Solution

    |

  2. The quadratic equations p(x) =0 with real coefficients has purely imag...

    Text Solution

    |

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

    Text Solution

    |

  4. Let alpha and beta be the roots of equation px^2+qx+r=0,pne0. If p, q,...

    Text Solution

    |

  5. In a Delta ABC, tanA and tanB are roots of pq(x^2+1)=r^2x. Then DeltaA...

    Text Solution

    |

  6. If alpha,beta are the roots of the quadratic equation x^2+px+q=0, then...

    Text Solution

    |

  7. Let p,q be real numbers. If alpha is the root of x^2+3p^2x+5q^2=0, bet...

    Text Solution

    |

  8. Let alpha,beta be the roots of x^2-x-1=0 and Sn=alpha^n+beta^n, for al...

    Text Solution

    |

  9. If alpha,beta are the roots fo ax^2+bx+c=0 (ane0) and alpha+h, beta+h ...

    Text Solution

    |

  10. The equation sqrt(x+1)-sqrt(x-1)=sqrt(4x-1) has

    Text Solution

    |

  11. If a, b and c are positive numbers in a G.P., then the roots of the qu...

    Text Solution

    |

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

    Text Solution

    |

  13. If alpha and beta are the roots of x^2-x+1=0,then the value of alpha^(...

    Text Solution

    |

  14. If alpha,beta are the roots of the quadratic equation x^2+ax+b=0, (bne...

    Text Solution

    |

  15. Let p(x) be a quadratic polynomial with constant term 1. Suppose p(x) ...

    Text Solution

    |

  16. If alpha,beta are the roots of the quadratic equation ax^2+bx+c=0 and ...

    Text Solution

    |

  17. Let sinalpha,cosalpha, be the roots of the equation x^2-bx+c=0. Then w...

    Text Solution

    |

  18. What is the calorific value of 80 gms of carbohydrate, 15 gms of prote...

    Text Solution

    |

  19. The equation e^(sin x) -e^(-sin x)-4=0 has

    Text Solution

    |

  20. The equations x^2+x+a=0 and x^2+ax+1=0 have a common real root

    Text Solution

    |