Home
Class 14
MATHS
The least positive integer n for which (...

The least positive integer n for which `((1+i sqrt3)/(1-isqrt3))^(n)=1,` is

A

4

B

6

C

7

D

9

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • RATIO, PROPORTION & VARIATION

    QUANTUM CAT|Exercise QUESTION BANK|238 Videos

  • SET THEORY

    QUANTUM CAT|Exercise QUESTION BANK|81 Videos

Similar Questions

Explore conceptually related problems

The least positive integer n for which ((1+sqrt(3)i)/(1-sqrt(3)i))^(n) = 1 , is

The smallest positive integer n for which ((1 + i)/(1-i))^(n) = -1 is :

What is the least positive integer n for which ((1+i)/(1-i))^(n)=1 ?

The last positive integer n for which ((1+i)/(1-i))^(n) is real, is

(sqrt3+i)/(-1-isqrt3)=?

Find the least positive integer n foe which ((1+i)/(1-i))^(n)=1 .

QUANTUM CAT-SEQUENCE, SERIES & PROGRESSIONS-QUESTION BANK
  1. The minimum value of the sum of real numbers a^(-5),a^(-4),3a^(-3),1,a...

    Text Solution

    |

  2. If a,b,c are positive real numbers then (1+a)^7(1+b)^7)1+c)^7 (A) lt7^...

    Text Solution

    |

  3. The least positive integer n for which ((1+i sqrt3)/(1-isqrt3))^(n)=1,...

    Text Solution

    |

  4. A bacteria gives birth to two new bacterias in each second and the lif...

    Text Solution

    |

  5. Find the sum of 6 terms of the series 2+6+18+…..

    Text Solution

    |

  6. If Um be defined as the sum of m terms of the series V, where V=Sm+S(m...

    Text Solution

    |

  7. Let a1 , a2 ,a3, …., an be an A.P. and S1 , S2 and S3 be the sum of fi...

    Text Solution

    |

  8. Consider the sets T(n)={n, n+3, n+5, n+7, n+9} where n=1,2,3,.....,9...

    Text Solution

    |

  9. If {x} is the least integer greater than or equal to x, then find the ...

    Text Solution

    |

  10. If [x] is the greatest integer less than or equal to x, then find the ...

    Text Solution

    |

  11. Shaan got a total of Rs. 912 in the denomination of equal numbers of R...

    Text Solution

    |

  12. King Dashratha of Ayodhya on his birthday decided to offer 100 coins o...

    Text Solution

    |

  13. King Dashratha of Ayodhya on his birthday decided to offer 100 coins o...

    Text Solution

    |

  14. Shaan got a total of Rs. 912 in the denomination of equal numbers of R...

    Text Solution

    |

  15. The number of ways in which 13 gold coins can be distributed among thr...

    Text Solution

    |

  16. Shaan got a total of Rs. 912 in the denomination of equal numbers of R...

    Text Solution

    |

  17. King Dashratha of Ayodhya on his birthday decided to offer 100 coins o...

    Text Solution

    |

  18. The sum of an infinite geometric progression (G.P.) is 2 and the sum o...

    Text Solution

    |

  19. The sum of first ten terms of an A.P. is 155 and the sum of first two ...

    Text Solution

    |

  20. The sum of an infinite geometric series is 162 and the sum of its firs...

    Text Solution

    |