Home
Class 12
MATHS
The continued product of the fourth root...

The continued product of the fourth roots of `-1+i sqrt(3)` is

A

-1

B

`1-i sqrt(3)`

C

` -1+i sqrt(3)`

D

1

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMMON ENTRANCE TEST -2016

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos

  • COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|297 Videos

Similar Questions

Explore conceptually related problems

The continued product of the cube roots of 3+sqrt(3) i is

The product of cube root of -1 is equal to

Square root of -3 -4i is

Find the product of the positive roots of the equation sqrt2009(x)^(log_(2009)(x))=x^2 .

The sum and product of the roots of the equations 2x^(2) = 3x, respectively are:

Which of the following is a fourth root of

If one of the square roots of sqrt(3)-i is sqrt(2) cis (-(pi)/(12)) then the other one is

The amplitude of (1+i)/(1+sqrt(3) i) is

Find the nature of the roots of the quadratic equation sqrt(2)x^(2) - (3)/(sqrt(2))x + (1)/(sqrt(2))=0 .

HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
  1. The product of the values of (cos ((pi)/(3))+i sin( (pi)/(3)))^(3 / 4)...

    Text Solution

    |

  2. The continued product of the cube roots of 3+sqrt(3) i is

    Text Solution

    |

  3. The continued product of the fourth roots of -1+i sqrt(3) is

    Text Solution

    |

  4. If one of the square roots of sqrt(3)-i is sqrt(2) cis (-(pi)/(12)) th...

    Text Solution

    |

  5. If one of the cube roots of i is cis (pi)/(6) the other two roots are

    Text Solution

    |

  6. sqrt(i)+sqrt((-i)) equals :

    Text Solution

    |

  7. If the fourth roots of unity are z(1), z(2), z(3), z(4) then z(1)^(2)+...

    Text Solution

    |

  8. If alpha and beta are non real cube roots of unity then alpha beta+alp...

    Text Solution

    |

  9. The value of ((-1+i sqrt(3))/(2))^(26)+((-1-i sqrt(3))/(2))^(26) is

    Text Solution

    |

  10. ((-1+i sqrt(3))/(2))^(3 n)+((-1-i sqrt(3))/(2))^(3 n)=

    Text Solution

    |

  11. If i=sqrt(-1), omega is a non real cube root of unity then ((1+i)^(2 ...

    Text Solution

    |

  12. If omega is an imaginary cube root of unity than (1+omega-omega^(2))^(...

    Text Solution

    |

  13. The value of (i)^(i) is

    Text Solution

    |

  14. If x(r)=cos. (pi)/(2^(r))+ isin. (pi)/(2^(r)), then x(1)x(2)x(3)....oo...

    Text Solution

    |

  15. If a=cis alpha , b= cis beta, c= cis gamma and (a)/(b)+(b)/(c)+(c)/(a...

    Text Solution

    |

  16. If alpha is an imaginary root of the equation z^(n)-1=0 then 1+alpha+...

    Text Solution

    |

  17. If x(r)=cos. (pi)/(2^(r))+ isin. (pi)/(2^(r)), then x(1)x(2)x(3)....oo...

    Text Solution

    |

  18. tan [i log ((a-i b)/(a+i b))]=

    Text Solution

    |

  19. If x^(2)+x+1=0 then sum(r=1)^(25)(x^(r)+(1)/(x^(r)))^(2)=

    Text Solution

    |

  20. The area of the triangle whose vertices are i, omega omega^(2)

    Text Solution

    |