Home
Class 12
MATHS
Find the fourth roots of unity....

Find the fourth roots of unity.

A

`1pmi,-1pmi`

B

`pmi,1pmi`

C

`pm1,pmi`

D

1,-1

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER -12 (UNSOLVED)

    FULL MARKS|Exercise PART-II|10 Videos

  • SAMPLE PAPER -12 (UNSOLVED)

    FULL MARKS|Exercise PART-III|22 Videos

  • SAMPLE PAPER -12

    FULL MARKS|Exercise PART-I|1 Videos

  • SAMPLE PAPER -13

    FULL MARKS|Exercise PART-I (CHOOSE THE CORRECT ANSWER. ANSWER ALL THE QUESTION)|1 Videos

Similar Questions

Explore conceptually related problems

Find the cube roots of unity.

Find the 5^(th) root of 32

Find the square root of 6-8i

Find the 5^(th) root of 243

If 1,z_1,z_2,z_3,.......,z_(n-1) be the n, nth roots of unity and omega be a non-real complex cube root of unity, then prod _(r=1)^(n-1) (omega-z_r) can be equal to

Q. Let z_1 and z_2 be nth roots of unity which subtend a right angle at the origin, then n must be the form .

Find the circle roots of -27

If n ge3 and 1,alpha_1, alpha_2, alpha_3....alpha_(n-1) are the , nth roots of unity then find the value of sum_(1 le i lt j le (n-1)) (alpha_i alpha_j )

FULL MARKS-SAMPLE PAPER -12 (UNSOLVED)-PART-III
  1. Find the fourth roots of unity.

    Text Solution

    |

  2. Show that the points represented by the complex numbers 7+9i, -3+7i, 3...

    Text Solution

    |

  3. Provet that a stralght line and parabola connot intersect at more than...

    Text Solution

    |

  4. Find the value of cos(cos^(-1)((4)/(5))+sin^(-1)((4)/(5)))

    Text Solution

    |

  5. Determine whether the points ( -2,1) ,(0,0) and ( -4,-3) lie outside, ...

    Text Solution

    |

  6. Prove that [vecaxxvecb,vecbxxvecc,veccxxveca]=[veca,vecb,vecc]^(2)

    Text Solution

    |

  7. Find the intervals of monotonicity and local extrema of the function f...

    Text Solution

    |

  8. If u(x,y) = (x^(2) + y^(2))/sqrt(x+y), prove that x(del u)/(del x) + y...

    Text Solution

    |

  9. Four defective oranges are accidentally mixed with sixteen good ones. ...

    Text Solution

    |

  10. Show that not(p^^q)equiv((notp)vv(notq))

    Text Solution

    |

  11. Find the rank of each of the following matrices: (i) [{:(3,2,5),(1,1,2...

    Text Solution

    |

  12. In a T20 match, Chennai Super Kings needed just 6 runs to win with 1 b...

    Text Solution

    |

  13. Prove that (1+costheta+isintheta)^(n)+(1+costheta-isintheta)^(n)=2^(n+...

    Text Solution

    |

  14. Solve (x-4)(x+2)(x+3)(x-3)+8=0

    Text Solution

    |

  15. Prove thate tan^(-1)((2)/(11))+tan^(-1)((7)/(24))=tan^(-1)((1)/(2))

    Text Solution

    |

  16. A road bridge over an irrigation canal have two semi circular vents ea...

    Text Solution

    |

  17. Show that the set G={a+bsqrt2//a,binQ} is an infinite abelian group wi...

    Text Solution

    |

  18. Find the parametric form of vector equation, and Cartesian equations o...

    Text Solution

    |

  19. The mean and standard deviation of a binomial variate X are respectiv...

    Text Solution

    |

  20. Find the intervals of concavity and the points of inflection of the fu...

    Text Solution

    |

  21. For each of the functions find the f (x), f (y), and show that f (xy) ...

    Text Solution

    |