Home
Class 12
MATHS
If ((1+i)/(1-i))^(m)=1, then the least p...

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

A

2

B

3

C

4

D

1

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • COMMON ENTRANCE TEST - 2014

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos

  • COMMON ENTRANCE TEST - 2018

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos

Similar Questions

Explore conceptually related problems

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

If ((1+i)/(1-i))^(x)=1 , then x=

((1-i)/(1+i))^(2)=

If ((1+i)/(1-i))^(2m)=1 , then find the least integral value of m.

If omega be a cube root of unity and (1+omega^(2))^(n)=(1+omega^(4))^(n) , then the least positive value of n is

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

If l^(2) + m^(2) =1 , then the maximum value of l+m is

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

Among the complex numbers, z satisfying |z+1-i| le 1 , the number having the least positive argument is :

HIMALAYA PUBLICATION-COMMON ENTRANCE TEST - 2017-QUESTION BANK
  1. The value of cos ^(2)45^(@) - sin^(2)15^(@) is

    Text Solution

    |

  2. 3 + 5 + 7 + .... to n terms is

    Text Solution

    |

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

    Text Solution

    |

  4. If |x-2|le 1, then

    Text Solution

    |

  5. If '^(n)C(12) = ""^(n)C(8) then n is equal to

    Text Solution

    |

  6. The total number of terms in the expansion of (x+a)^(47)-(x-a)^(47) af...

    Text Solution

    |

  7. Equation of line passing through the point (1,2) and perpendicular to ...

    Text Solution

    |

  8. The eccentricity of the ellipse (x^(2))/(36)+ (y^(2))/(16)=1 is

    Text Solution

    |

  9. The perpendicular distance of the point P(6,7,8) from XY-plane is

    Text Solution

    |

  10. The value of lim(theta to 0)(1-cos 4theta)/(1-cos 6 theta) is

    Text Solution

    |

  11. Write the converse and contrapositive of the statement " If x ...

    Text Solution

    |

  12. If coefficient of variation is 60 and standard deviation is 24, then a...

    Text Solution

    |

  13. The range of the function f(x) = sqrt(9-x^(2))

    Text Solution

    |

  14. Let f: R to R be defined by f(x) = x^(4), then

    Text Solution

    |

  15. The range of sec^(-1)x is

    Text Solution

    |

  16. If tan^(-1)x + tan^(-1)y=4pi//5, then cot^(-1)x + cot^(-1)y is equal t...

    Text Solution

    |

  17. If f(x) = 8x^(3), g(x) = x^((1//3)), then fog(x) is

    Text Solution

    |

  18. If A = 1/pi [(sin^(-1)(xpi),tan^(-1)(x/pi)),(sin^(-1)(x/pi),cot^(-1)(p...

    Text Solution

    |

  19. If a matrix A is both symmetric and skew symmetric, then

    Text Solution

    |

  20. If 2[[1,3],[0,x]]+ [[y,0],[1,2]]= [[5,6],[1,8]] , then the value of x...

    Text Solution

    |