Home
Class 12
MATHS
The cube roots of 1+I are...

The cube roots of 1+I are

A

`(i-1)//root3(2),{(i-1)//root(3)2}omega,{(i-1)//root(3)2}omega^(2)`

B

`(i-1)//sqrt2,{(i-1)//sqrt2"}omega,{(i-1)//root(3)2}omega^(3)`

C

`(i-1)//sqrt3,{(i-1)//sqrt3}omega,{(i-1)//sqrt3}omega^(2)`

D

none

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DE MOIVRE'S THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-1|5 Videos

  • DE MOIVRE'S THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-2|3 Videos

  • DE MOIVRE'S THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-4|3 Videos

  • COORDINATE SYSTEM (3D)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET- 4)|3 Videos

  • DEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUSTIONS) CHOOSE THE CORRECT ANSWER FROM THE ALTERNATIVES 1,2,3 OR 4 GIVEN (SET-4)|8 Videos

Similar Questions

Explore conceptually related problems

Find the cube roots of 8 .

The cube root of .000216 is:

If the cube roots of unity are 1,omega,omega^(2) then the roots of the equation (x-1)^(3)+8=0 are

If the cube roots of unity are 1 , omega , omega^(2) , then find the roots of the equation ( x - 1)^(3) + 8 = 0 .

The cube roots of unity when represented on the Argand diagram form the vertices of an

If 1 , omega , omega^(2) are the cube roots of unity , then the roots of (x - 2)^(2) + 1 = 0 are

If 1 , omega , omega^(2) are the cube roots of unity , then the roots of (x - 1)^(3) + 8 = 0 are

DIPTI PUBLICATION ( AP EAMET)-DE MOIVRE'S THEOREM-EXERCISE 1
  1. If 1,alpha1,alpha2,…..alpha(n-1) are the n^(th) roots of unity and n i...

    Text Solution

    |

  2. 1,alpha1,alpha2,alpha3…..alpha(n-1) are the n^(th) roots of unity and ...

    Text Solution

    |

  3. If 1,z1z2,……z(n-1) are the n^th roots of unity, then (1-z1)(1-z2)…..(1...

    Text Solution

    |

  4. If alpha is an n^(th) root of unity then prove that 1+2alpha+3alpha^2+...

    Text Solution

    |

  5. If 1,alpha,alpha^2,…...,alpha^(n-1) are the n^(th) roots of unity, the...

    Text Solution

    |

  6. Statement-I : If xn=cos(pi//2^n)+isin (pi//2^n) then x1.x2.x3…..=-...

    Text Solution

    |

  7. If X(n)="cos"(pi)/(2^(n))+"isin"(pi)/(2^(n)), then x(1), x(2), x(3)......

    Text Solution

    |

  8. If x(n)=cos((pi)/(4^(n)))+i sin ((pi)/(4^(n))), then x(1), x(2), x(3)....

    Text Solution

    |

  9. sum(k=1)^6[sin((2kpi)/(7))-icos((2kpi)/(7))]=

    Text Solution

    |

  10. If z(k)=cos((kpi)/(10))+isin((kpi)/(10)), then z(1)z(2)z(3)z(4) is equ...

    Text Solution

    |

  11. The cube roots of 1+I are

    Text Solution

    |

  12. The values of (1-sqrt3i)^(1//3) are

    Text Solution

    |

  13. Find all the values of (sqrt3 + i) ^(1/4) .

    Text Solution

    |

  14. The product of the four values of (1/2+i(sqrt3)/(2))^(3//4) is

    Text Solution

    |

  15. The product of the values of [cos""(pi)/(3)+isin""(pi)/(3)]^(3//4) is

    Text Solution

    |

  16. The product of the distinct (2n)^(th) roots 1+isqrt3 is

    Text Solution

    |

  17. If x^6+1=0, then x =

    Text Solution

    |

  18. The number of common roots of 15th and of 25th roots of unity are

    Text Solution

    |

  19. The common roots of the equation z^(3)+2z^(2)+2z+1=0,z^(2014)+z^(2015)...

    Text Solution

    |

  20. p,q,r are distinct cube roots of non-zero complex number z. Let a,b,c ...

    Text Solution

    |