Home
Class 12
MATHS
If f(x)=(x^(4)+x^(2)+1)/(x^(2)-x+1), the...

If `f(x)=(x^(4)+x^(2)+1)/(x^(2)-x+1)`, the value of `f(omega^(n))` (where `'omega'` is the non-real root of the equation `z^(3)=1` and 'n' is a multiple of 3), is ……….. .

Text Solution

Verified by Experts

The correct Answer is:
3
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|13 Videos
  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|24 Videos
  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Matching Type Questions)|2 Videos
  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos
  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

Similar Questions

Explore conceptually related problems

" Let "f(x)=int_(x)^(x^2)(t-1)dt" .Then the value of "|f'(omega)|" where "omega" is a complex cube root of unity is "

If f(x)=x^(3)-3x+1, then the number of distinct real roots of the equation f(f(x))=0 is

If P_(1) = 1 - (w)/2 + (w^2)/4 - (w^3)/(8) + ……… oo and P_(2) = (1 - omega^2)/2 { where w is non-real root of equation x^3 = 1 } , then P_(1)P_(2) is equal to

f(x)=x^(2)+6, omega (x)=5x . Solve the equation f(x)=|omega (x)| .

If f(x)=x^(3)+3x^(2)+6x+2sin x, then the equation (1)/(x-f(1))+(2)/(x-f(2))+(3)/(x-f(3))=0 has number of real roots of the equation?

If for non zero x , 3f(x)+4f((1)/(x))=(1)/(x)-10 , then the value of int_(2)^(3)f(x)dx is

The number of real roots of the equation 1+a_(1)x+a_(2)x^(2)+………..a_(n)x^(n)=0 , where |x| lt (1)/(3) and |a_(n)| lt 2 , is

ARIHANT MATHS-FUNCTIONS-Exercise (Single Integer Answer Type Questions)
  1. Let f(x) denotes the number of zeroes in f'(x). If f(m)-f(n)=3, the va...

    Text Solution

    |

  2. If x^2+y x^2=4 then find the xamimum value of (x^3+y^3)/(x+y)

    Text Solution

    |

  3. Let f(n) denotes the square of the sum of the digits of natural numbe...

    Text Solution

    |

  4. If [sinx]+[x/(2pi)]+[(2x)/(5pi)]=(9x)/(10pi), where [*] denotes the gr...

    Text Solution

    |

  5. The number of integral solutions of 1/x+1/y=1/6 " with " x le y " is "...

    Text Solution

    |

  6. If f(x) is a polynominal of degree 4 with leading coefficient '1' sati...

    Text Solution

    |

  7. If a+b = 3- cos 4 theta and a-b =4 sin 2theta, then ab is always less ...

    Text Solution

    |

  8. Let 'n' be the number of elements in the domain set of the function f(...

    Text Solution

    |

  9. If f(x) is a function such that f(x-1)+f(x+1)=sqrt(3)f(x) and f(5)=10,...

    Text Solution

    |

  10. If 2f(x)=f(x y)+f(x/y) for all positive values of x and y,f(1)=0 and f...

    Text Solution

    |

  11. Let f be a function from the set of positive integers to the set of re...

    Text Solution

    |

  12. If f(x)=(x^(4)+x^(2)+1)/(x^(2)-x+1), the value of f(omega^(n)) (where ...

    Text Solution

    |

  13. If f^2(x)*f((1-x)/(1+x))=x^3, [x!=-1,1 and f(x)!=0], then find |[f(-2)...

    Text Solution

    |

  14. An odd function is symmetric about the vertical line x=a ,(a >0),a n d...

    Text Solution

    |

  15. L e t(e^x-e^(-x))/(e^x+e^(-x))=lnsqrt((1+x)/(1-x)),then find x.

    Text Solution

    |

  16. If x is real , the maximum value of (3x^2+9x+17)/(3x^2+9x+7)"i s"

    Text Solution

    |

  17. If f(x) satisfies the relation f(x)+f(x+4)=f(x+2)+f(x+6) for allx , th...

    Text Solution

    |

  18. 83. A non-zero function f (x) is symmetrical about the line y=x then t...

    Text Solution

    |

  19. Let f:R rarr R and f(x)=(3x^(2)+mx+n)/(x^(2)+1). If the range of this ...

    Text Solution

    |

  20. Let f(x)be a monotic ploynomial of degree (2m-1) where m in N Then the...

    Text Solution

    |