Home
Class 11
MATHS
The largest interval for which x^12-x^9+...

The largest interval for which `x^12-x^9+x^4-x+1gt0` is

A

`-4ltxle0`

B

`0ltxlt1`

C

`-100ltxlt100`

D

`-inftyltxltinfty`

Text Solution

Verified by Experts

The correct Answer is:
D
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

The interval on which cos^-1 x gt sin^-1 x gt tan^-1 x is

Find the interval in which f(x)=2x^3+3x^2-12x+1 is increasing.

Let f(x)=x^(3) +6x^(2) + px +2 , if the largest possible interval in which f(x) is a decreasing function is (-3,-1) , then the value of p is-

Lel f(x)=x^3+6x^2+ax+2 lf the largest possible interval in which f(x) is a decreasing function is (-3-1) then the value of a most be

Find the interval in which , cos^-1 x gt sin^-1 x .

The value of k(k >0) such that the length of the longest interval in which the function f(x)=sin^(-1)|sink x|+cos^(-1)(cosk x) is constant is pi/4 is/ are (a)8 (b) 4 (c) 12 (d) 16

The length of the largest continuous interval in which the function f(x)=4x-tan2x is monotonic is (a) pi/2 (b) pi/4 (c) pi/8 (d) pi/(16)

Find the intervals in which the function f(x)=x^(x) (x gt 0) is increasing

Find the intervals in which the function f(x)=x^(x) (x gt 0) is decreasing.

Find the interval in which f(x)= 4x^3+3x^2+2x+1 is increasing.

PATHFINDER-QUADRATIC EQUATION AND EXPRESSION-QUESTION BANK
  1. Let alpha,beta,gamma be the roots of f(x)=0, where f(x)=x^3+x^2-5x-1. ...

    Text Solution

    |

  2. The entire graphs of the equation y=x^2+kx-x+9 is strictly above the x...

    Text Solution

    |

  3. The largest interval for which x^12-x^9+x^4-x+1gt0 is

    Text Solution

    |

  4. The quadratic equations x^2-6x+a=0 and x^2-cx+6=0 have one root in com...

    Text Solution

    |

  5. If alpha and beta are the roots of the equation ax^2+bx+c=0 ,a ne 0,a,...

    Text Solution

    |

  6. Roots of the quadratic equation (x^2-4x+3)+lamda(x^2-6x+8)=0,lamdainR ...

    Text Solution

    |

  7. The number of real solution of the equation absx^2-4absx+3=0 is

    Text Solution

    |

  8. For what values of KinR the expression 2x^2+Kxy+3y^2-5y-2 can be expre...

    Text Solution

    |

  9. How many real solutions does the equation x^7+14x^5+16x^3+30x-560=0 h...

    Text Solution

    |

  10. Set of value of k(kinR) for which equation x^2-4abs(x)+3-abs(k-1)=0 wi...

    Text Solution

    |

  11. It is given that equation 4x^3-3x-p=0 has a unique root in the interva...

    Text Solution

    |

  12. If 3^(x+2)-9^(-1//x)gt0, then the interval of x can be

    Text Solution

    |

  13. The roots of the equation (a+sqrtb)^(x^2-15)+(a-sqrtb)^(x^2-15)=2a w...

    Text Solution

    |

  14. For what real value of 'a' do the roots of x^2-2x-(a^2-1)=0 lie betwee...

    Text Solution

    |

  15. The real solutions of the equation root(4)(97-x)+root(4)x=5

    Text Solution

    |

  16. Consider the equation x^2+x-a=0,ainN If equation has integral roots,...

    Text Solution

    |

  17. A function f:RtoR where R is the set of real numbers,is defined by f(x...

    Text Solution

    |

  18. If b^2ge4ac for the equations ax^4+bx^2+c=0 then all the roots of the ...

    Text Solution

    |

  19. The real roots of the equation

    Text Solution

    |

  20. log(x^2+6x+8)log(2x^2+2x+3)(x^2-2x)=0 holds for

    Text Solution

    |