Home
Class 11
MATHS
Find the least positive integer m such t...

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

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 2

    OSWAAL PUBLICATION|Exercise EXERCISE|57 Videos

  • SAMPLE PAPER 4

    OSWAAL PUBLICATION|Exercise EXERCISE|54 Videos

Similar Questions

Explore conceptually related problems

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

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

(1+i)^(4)+(1-i)^(4)=

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

If ((1+i)/(1-i))^(m)=1 , then find the least positive integral value of m.

If a,b and c are three consecutive positive integers such that 1/(a!)+1/(b!)=lambda/(c!) then find the value of root under lambda .

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

OSWAAL PUBLICATION-SAMPLE PAPER 3-EXERCISE
  1. Find the value of cos (-1710^(@)).

    Text Solution

    |

  2. Prove that sin 2x=(2 tan x)/(1+tan^(2)x)

    Text Solution

    |

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

    Text Solution

    |

  4. Solve {3(2x-5)-7} ge -9(x-5).

    Text Solution

    |

  5. Find the distance of a point(3,-5) from the line 3x-4y-5=0

    Text Solution

    |

  6. Find the angle between the lines y - sqrt(3) x - 5 = 0 and sqrt(3) y...

    Text Solution

    |

  7. Evaluate:underset(x rarr -2)lim (1/x+1/2)/(x+2)

    Text Solution

    |

  8. Show that the points P(- 2 , 3, 5) , Q (1, 2, 3) and R(7, 0, -1) are c...

    Text Solution

    |

  9. Write the contrapositive and converse of "If a paralleogram is a squar...

    Text Solution

    |

  10. Write the mean of the given data : 6,7,10,12,13,4,8,12 ?

    Text Solution

    |

  11. If A and B are mutually exclusive events, given that P(A)=3/5,P(B)=1/5...

    Text Solution

    |

  12. There are 200 individuals with a skin disorder, 120 had been exposed t...

    Text Solution

    |

  13. There are 200 individuals with a skin disorder, 120 had been exposed t...

    Text Solution

    |

  14. Let A={1,2},B={1,2,3,4],C={5,6}.Verify that A xx (B nn C)=(A xx B) nn ...

    Text Solution

    |

  15. In any triangle ABC, sin.(A)/(2) is

    Text Solution

    |

  16. Express (-1+i)/(sqrt(2)) in the polar form.

    Text Solution

    |

  17. Solve the equation x^2+x/sqrt 2 +2=0

    Text Solution

    |

  18. In how many ways can 5 girls and 3 boys be selected in a row so that ...

    Text Solution

    |

  19. Find the middle term in the expansion of ((x)/(3)+9y)^(10)

    Text Solution

    |

  20. The number of bacteria in a certain culture doubles every hour. If the...

    Text Solution

    |