Home
Class 12
MATHS
The least positive integer n for which ...

The least positive integer n for which `(1+i)^(n)=(1-i)^(n)`. is

A

8

B

2

C

4

D

6

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    SIA PUBLICATION|Exercise PROBLEMS|50 Videos
  • DEFINITE INTEGRALS

    SIA PUBLICATION|Exercise PROBLEMS|42 Videos

Similar Questions

Explore conceptually related problems

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

The least positive integer n for which (1+i)^n=(1-i)^n holds is

Show that the least positive integral value of n for which ((1+i)/(1 -i))^(n) = 1 is 4.

The least positive integral value of n for which ((1+i)/(1-i))^n=1 is

The least positive integral value of n for which ((1-i)/(1+i))^(2n) = 1 is

I: The modulus of (sqrt3 + i)/((1 + i) (1 + sqrt3i)) is (1)/(sqrt2) II : The least positive value of n for which ((1 - i)/(1 + i))^(n)= 1 is 2 Which of the statements are true

If n is a positive integer, show that (1 + i)^(n) + (1 - i)^(n) = 2 ^((n+2)/2) cos ((npi)/4) .

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

SIA PUBLICATION-COMPLEX NUMBERS AND DE MOIVRE'S THEOREM-Problems
  1. ((1+"cos"(pi)/(8)+"isin"(pi)/(8))/(1+"cos"(pi)/(8)-"isin"(pi)/(8)))^(8...

    Text Solution

    |

  2. The number of solutions for z^3+barz=0 is

    Text Solution

    |

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

    Text Solution

    |

  4. If x=p+q,y=pomega+q omega^(2) and z=p omega^(2)+q omega, where omega i...

    Text Solution

    |

  5. ((1+i)/(1-i))^4+((1-i)/(1+i))^4=

    Text Solution

    |

  6. If a complex number z satisfies |z|^(2)+1=|z^(2)-1|, then the locus of...

    Text Solution

    |

  7. ((1+i)x-i)/(2+i)+((1+2i)y+i)/(2-i)=1rArr(x,y)=

    Text Solution

    |

  8. If a,b,c,d inRR are such that a^2+b^2=4 and c^2+d^2=2 and if (a+ib)^2...

    Text Solution

    |

  9. If alpha is a non real root of the equation x^(6)-1=0 then (alpha^(2)+...

    Text Solution

    |

  10. Let z=a-i/2,a inRR " Then "|i+z|^2-|i-z|^2=

    Text Solution

    |

  11. The locus of the complex number z such that arg ((z-2)/(z+2))=pi/3 is ...

    Text Solution

    |

  12. ((1+i)^2011)/(1-i)^2009=

    Text Solution

    |

  13. z=1+isqrt(3)rArr|Arg z|+|Argbarz|=

    Text Solution

    |

  14. If omega is a complex cube root of unity, then (x+1)(x+omega)(x-omega-...

    Text Solution

    |

  15. The locus of z satisfying the |(x+2i)/(2z+i)| lt 1, inequality where z...

    Text Solution

    |

  16. The points in the set {zinC: Arg " ((z-2)/(Z-6i))=pi/2} lie on the cu...

    Text Solution

    |

  17. If omega is a complex cube root of unity, then sin[(omega^(10)+omega^(...

    Text Solution

    |

  18. If m(1), m(2), m(3) and m(4) respectively denote the moduli of the co...

    Text Solution

    |

  19. The locus of the point z=x+iy satisfying |(z-2i)/(z+2i)|=1 is

    Text Solution

    |

  20. The equation of the locus of 2 such that |(z-i)/(z+i)|=2, where z = x ...

    Text Solution

    |