Home
Class 12
MATHS
The value of (i)^(i) is...

The value of `(i)^(i)` is

A

`- (pi/2)`

B

`e^- (pi/2)`

C

`e^ (pi/3)`

D

`(pi)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • COMMON ENTRANCE TEST -2016

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos

  • COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|297 Videos

Similar Questions

Explore conceptually related problems

If x=-1-i sqrt(3) then the value of x^(3) is

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

The value of (a+i b)^(m / n)+(a-i b)^(m / n) is equal to

In this circuit , the value of I_(2) is

If n is any positive integer then the value of (i^(4 n+1)-i^(4 m-1))/(2)=

If sum_(i=1)^(n) cos theta_(i)=n , then the value of sum_(i=1)^(n) sin theta_(i) .

The value of ((1+i sqrt(3))/(1-i sqrt(3)))^(6)+((1-i sqrt(3))/(1+i sqrt(3)))^(6)=

The value of ((1+i)/(sqrt(2)))^(8)+((1-i)/(sqrt(2)))^(8)=

The value of ((-1+i sqrt(3))/(2))^(26)+((-1-i sqrt(3))/(2))^(26) is

The value of (sin (pi/3)+i cos (pi/3))^(3) is

HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
  1. If i=sqrt(-1), omega is a non real cube root of unity then ((1+i)^(2 ...

    Text Solution

    |

  2. If omega is an imaginary cube root of unity than (1+omega-omega^(2))^(...

    Text Solution

    |

  3. The value of (i)^(i) is

    Text Solution

    |

  4. If x(r)=cos. (pi)/(2^(r))+ isin. (pi)/(2^(r)), then x(1)x(2)x(3)....oo...

    Text Solution

    |

  5. If a=cis alpha , b= cis beta, c= cis gamma and (a)/(b)+(b)/(c)+(c)/(a...

    Text Solution

    |

  6. If alpha is an imaginary root of the equation z^(n)-1=0 then 1+alpha+...

    Text Solution

    |

  7. If x(r)=cos. (pi)/(2^(r))+ isin. (pi)/(2^(r)), then x(1)x(2)x(3)....oo...

    Text Solution

    |

  8. tan [i log ((a-i b)/(a+i b))]=

    Text Solution

    |

  9. If x^(2)+x+1=0 then sum(r=1)^(25)(x^(r)+(1)/(x^(r)))^(2)=

    Text Solution

    |

  10. The area of the triangle whose vertices are i, omega omega^(2)

    Text Solution

    |

  11. The centre of the square A B C D is at the origin. The vertex A is z. ...

    Text Solution

    |

  12. The value of sum(k=1)^(6)[" sin"(2Kpi)/(7)- i " cos"(2Kpi)/(7)] is

    Text Solution

    |

  13. The locus of the point satisfying the condition amp. ((z-1)/(z+1))=(pi...

    Text Solution

    |

  14. If z=(sqrt(3))/(2)-(1)/(2) i, then (i^(93)+z^(93))^(99)=

    Text Solution

    |

  15. If (z-1)/(z+1) is purely imaginary, then |z|=

    Text Solution

    |

  16. For any integer n, the argument of ((sqrt(3)+i)^(4 n+1))/((1-i sqrt(3)...

    Text Solution

    |

  17. If x(r)=cos. (pi)/(2^(r))+ isin. (pi)/(2^(r)), then x(1)x(2)x(3)....oo...

    Text Solution

    |

  18. If z(1)=1+i sqrt(3) , z(2)=1-i sqrt(3), then (z(1)^(100)+z(2)^(100))/(...

    Text Solution

    |

  19. If z(1)=1+i, z(2)=sqrt(3)+i, then arg ((z(1))/(z(2)))^(50)=

    Text Solution

    |

  20. If 1,a(1), a(2). ..., a(n-1) are n roots of unity, then the value of (...

    Text Solution

    |