Home
Class 11
MATHS
If z is a non real root of root(7)(-1) ...

If `z` is a non real root of `root(7)(-1)` , then find the value of `z^(86)+z^(175)+z^(289)dot`

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE PUBLICATION|Exercise All Questions|363 Videos

  • CONIC SECTIONS

    CENGAGE PUBLICATION|Exercise All Questions|1167 Videos

Similar Questions

Explore conceptually related problems

If z=4+isqrt(7) , then find the value of z^2-4z^2-9z+91.

If Z is a non-real complex number, then find the minimum value of | (Imz^5)/(Im^5z) |

If z^2+abs(z)^2=0 then find the imaginary value of z

If z=1+i, then find zbarz dot

If z=1-i, then find zbarz dot

If |z|lt=4 , then find the maximum value of |i z+3-4i|dot

If z_r : r=1,2,3, ,50 are the roots of the equation sum_(r=0)^(50)z^r=0 , then find the value of sum_(r=0)^(50)1/(z_r-1)

If z_(1)=3i and z_(2)=-1-i , where i=sqrt(-1) find the value of arg ((z_(1))/(z_(2)))

If z is a complex number, then find the minimum value of |z|+|z-1|+|2z-3|dot

If z=3+sqrt7i , then find zbarz dot

CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If alpha=e^(i2pi//7)a n df(x)=a0+sum(k=0)^(20)ak x^k , then prove that...

    Text Solution

    |

  2. If w=alpha+ibeta, where beta!=0 and z!=1 , satisfies the condition tha...

    Text Solution

    |

  3. If z is a non real root of root(7)(-1) , then find the value of z^(86...

    Text Solution

    |

  4. The quadratic equation x^2+m x+n=0 has roots which are twice those of ...

    Text Solution

    |

  5. Let omega=-1/2+i(sqrt(3))/2dot Then the value of the determinant |1 1 ...

    Text Solution

    |

  6. All the value of k for which the quadratic polynomial f(x)=2x^2+k x+2=...

    Text Solution

    |

  7. ifa=cos(2pi//7)+isin(2pi//7) , then find the quadratic equation whose ...

    Text Solution

    |

  8. Let complex numbers alpha and 1/alpha^- lie on circles (x-x0)^2+(y-y0...

    Text Solution

    |

  9. If |z/| barz |- barz |=1+|z|, then prove that z is a purely imaginary ...

    Text Solution

    |

  10. If x=-5+2sqrt(-4) , find the value of x^4+9x^3+35 x^2-x+4.

    Text Solution

    |

  11. Let a , b ,a n dc be rel numbers which satisfy the equation a+1/(b c)=...

    Text Solution

    |

  12. The value of i^(1+3+5+.....+(2n+1)) is.

    Text Solution

    |

  13. a ,b , c are integers, not all simultaneously equal, and omega is cube...

    Text Solution

    |

  14. a, b, c are reals such that a+b+c=3 and   1/(a+b)+ 1/(b+c) + 1/ (c+...

    Text Solution

    |

  15. If z + 1/z = 2costheta, prove that |(z^(2n)-1)//(z^(2n)+1)|=|tannthet...

    Text Solution

    |

  16. If alpha,beta are the roots of the quadratic equation a x^2+b x+c=0 , ...

    Text Solution

    |

  17. The locus represented by the equation abs(z-1)=abs(z-i) is

    Text Solution

    |

  18. Prove that the roots of the equation x^4-2x^2+4=0 forms a rectangle.

    Text Solution

    |

  19. If a ,b ,c are non-zero real numbers, then find the minimum value of t...

    Text Solution

    |

  20. If z1a n dz2 are two nonzero complex numbers such that =|z1+z2|=|z1|+|...

    Text Solution

    |