Home
Class 11
MATHS
One of the values of (-i)^(1//3) is :...

One of the values of `(-i)^(1//3)` is :

A

`(-1+ sqrt3 i)/2`

B

`(-1-sqrt3 i)/2`

C

i

D

`(-1+ sqrt3 i)/3`.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • LINEAR INEQUATIONS

    MODERN PUBLICATION|Exercise EXERCISE|289 Videos
  • LIMITS AND DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE|334 Videos
  • MATHEMATICAL INDUCTION

    MODERN PUBLICATION|Exercise EXERCISE|85 Videos

Similar Questions

Explore conceptually related problems

The value of (1-i)/(1+i) is:

The value of (1+i)^3-(1-i)^3 is:

The value of (1+i)^4+(1-i)^4 is:

If a=(1+i)/sqrt2," where "i=sqrt(-1), then find the value of a^(1929) .

If z_(1),z_(2),z_(3) andz_(4) are the roots of the equation z^(4)=1, the value of sum_(i=1)^(4)z_i^(3) is

Find the value of sqrt(3-4i) .

If sum_(i=1)^(n) cos theta_(i)=n , then the value of sum_(i=1)^(n) sin theta_(i) .

If sum_(i=1)^(n) cos theta_(i)=n , then the value of sum_(i=1)^(n) sin theta_(i) .

If Sigma_(i=1)^(2n) cos^(-1) x_(i) = 0 ,then find the value of Sigma_(i=1)^(2n) x_(i)

If |z-2i|lesqrt(2), where i=sqrt(-1), then the maximum value of |3-i(z-1)|, is

MODERN PUBLICATION-LINEAR INEQUATIONS-EXERCISE
  1. If the imaginary part of (2z+1)/(iz+1) is -2, then the locus of the po...

    Text Solution

    |

  2. The points representing the complex numbers z for which |z+3|^2 -|z-3|...

    Text Solution

    |

  3. One of the values of (-i)^(1//3) is :

    Text Solution

    |

  4. The complex number z = x + iy, which satisfies the equation |(z-5i)/(z...

    Text Solution

    |

  5. In complex plane, the equation |z+ bar z|=|z- bar z| represents :

    Text Solution

    |

  6. For complex numbers u, v, one always has :

    Text Solution

    |

  7. If ((1+i)/(1-i))^n =1, then the smallest value of n is :

    Text Solution

    |

  8. Which of the following is correct ?

    Text Solution

    |

  9. In the Argand diagram. if O, P and Q represent respectively the origin...

    Text Solution

    |

  10. The area of the triangle with vertices affixed at z, iz, z(1 +i) is:

    Text Solution

    |

  11. Multiplication of a complex z by i corresponds to :

    Text Solution

    |

  12. If (c+i)/(c-i)= a+ ib, where a, b, c are real, then a^2+ b^2 equals :

    Text Solution

    |

  13. If i^2=-1, then the value of overset (200) underset (n=1) (sum) i^n is...

    Text Solution

    |

  14. If the conjugate of (x + iy) (1-2i) be 1+i, then :

    Text Solution

    |

  15. Mathematical Induction shows that the inequality log (n!) >n/2 holds :

    Text Solution

    |

  16. The inequality n ! > 2^(n-1) is true:

    Text Solution

    |

  17. The number of solutions of the equation z^2+ bar z=0 is :

    Text Solution

    |

  18. If alpha, beta are the roots fo the equation lamda(x^(2)-x)+x+55=0. If...

    Text Solution

    |

  19. The modulus of (1-i)/(3+i)+(4i)/5 is :

    Text Solution

    |

  20. For any complex number z, the minimum value of |z|+|z-1| is :

    Text Solution

    |