Home
Class 11
MATHS
Find the least positive integer 'n' such...

Find the least positive integer 'n' such that `((1+i)/(1-i))^(n) =1`.

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 6

    OSWAAL PUBLICATION|Exercise EXERCISE|55 Videos
  • SAMPLE PAPER 8

    OSWAAL PUBLICATION|Exercise EXERCISE|55 Videos

Similar Questions

Explore conceptually related problems

Find the least positive integer m such that ((1+i)/(1-i))^(4m)=1 .

The smallest integer n such that ((1 + i)/(1-i))^(n) = 1 is

Find the least positive integral value of n, for which ((1-i)/(1+i))^n , where i=sqrt(-1), is purely imaginary with positive imaginary part.

The least positive integer n, for which ((1+i)^(n))/((1-i)^(n-2)) is positive is

If n is a positive integer, then (1+i)^(n)+(1-i)^(n)=

The smallest positive integer for which (1 + i)^(2n)=(1 -l)^(2n) is

The value of ((1+i)/(1-i))^(4 n)=

The smallest positive integral value of ' n ' such that [(1+sin (pi)/(8)+i cos (pi)/(8))(1+sin (pi)/(8)-i cos (pi)/(8))]^(n) is purely imaginary is

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

Statement-1: The smallest positive integer n such that n! can be expressed as a product of n-3 consecutive integers, is 6. Statement-2: Product of three consecutive integers is divisible by 6.

OSWAAL PUBLICATION-SAMPLE PAPER 7-EXERCISE
  1. (1-sin(2)A)(1+tan^(2)A)=1

    Text Solution

    |

  2. Evaluate underset (x rarr 4)lim (4x+2)/(x-2).

    Text Solution

    |

  3. Find the least positive integer 'n' such that ((1+i)/(1-i))^(n) =1.

    Text Solution

    |

  4. How many 3 - digit numbers can be formed by using the digits 1 to 9 if...

    Text Solution

    |

  5. Find the equation of line passing through (4, 2) and parallel to the l...

    Text Solution

    |

  6. set U={0,1,2,3,4,5,6,7,8,9},A={0,1,3,5,7},B={0,2,4,6,8},C={1,4,9}.Find...

    Text Solution

    |

  7. Three are 4 men and 6 women in a city council.If one council member is...

    Text Solution

    |

  8. Solve 7x+3lt 5x+9. Show the graph of the solution on number line.

    Text Solution

    |

  9. Find the degree measure of the angle subtended at the centre of a circ...

    Text Solution

    |

  10. Let f(x)=sqrtx and g(x)=x be two functions defined over the set of non...

    Text Solution

    |

  11. Check the validity of the statements (i) 200 is multiple of 4 a...

    Text Solution

    |

  12. Check the validity of the statements (i) 200 is multiple of 4 a...

    Text Solution

    |

  13. Prove that the points (2, -5) & (-1, 4) are equidistant from the line ...

    Text Solution

    |

  14. Find real value of theta for which (3+2i sin theta)/(1-2i sin theta) i...

    Text Solution

    |

  15. Define finite and infinite set with suitable examples.

    Text Solution

    |

  16. Evaluate underset (x rarr 1)lim(x^15-1)/(x^10-1).

    Text Solution

    |

  17. Prove that : sin3x=3sinx-4sin^(3)x

    Text Solution

    |

  18. Show that the points A(0,7,10), B(-1,6,6) and C(-4,9,6) from a right...

    Text Solution

    |

  19. A box contains 10 red marbles,20 blue marbles and 30 green marbles.5 m...

    Text Solution

    |

  20. A box contains 10 red marbles, 20 blue marbles and 30 green marbles. 5...

    Text Solution

    |