Home
Class 12
MATHS
The number i^(i) is...

The number `i^(i)` is

A

a.real and positive

B

b.real and negative

C

c.pure imaginary

D

d.of amplitude `(pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
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

The number of distinct real values of lambda for which the vectors -lambda^(2)i + j+ k , i- lambda^(2)j + k and i+j- lambda^(2)k are coplanar is

Express in the complex number (-5i)(i/8)

Express in the form of complex number i^9+i^(19)

The complex number (1+2i)/(1-i) lies in

Express the complex number (1-i) -( -1+ 6i ) in a + ib form

The conjugate of the complex number (1+i)^(3)+(1)/(i) is

Find the modulus and argument of the complex number (2+i)/(4i+(1+i)^(2))

(iii) Find the modulus and argument of the complex numbers. (a) (1+i)/(1-i) , (b) 1/(1+i)

Find the imaginary part of the complex number if z=( 2-i)(5+i)

Express in the complex number if 3(7+7i)+(i(7+7i)

HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
  1. If |z(1)-1|lt2,|z(2)-2|lt1, then |z(1)+z(2)|

    Text Solution

    |

  2. If z(1) and z(2) are two non-zero complex numbers such that |z(1)+z(2)...

    Text Solution

    |

  3. The number i^(i) is

    Text Solution

    |

  4. The complex number z has argument, 0ltthetalt(pi)(2) and satisfy the e...

    Text Solution

    |

  5. If z(1) and z(2) are two non-zero complex numbers such that |z(1)+z(2)...

    Text Solution

    |

  6. The inequality |z-4|lt|z-2| represents the region given by

    Text Solution

    |

  7. The smallest positive integer n for which (1+i sqrt(3))^(n / 2) is rea...

    Text Solution

    |

  8. If x^(2)+x+1=0, then sum(r=1)^(2005)(x^(r)+(1)/(x^(r)))^(3)=

    Text Solution

    |

  9. If z(1), z(2), z(3) be vertices of an equilateral triangle occurring ...

    Text Solution

    |

  10. If z(1), z(2) are two complex numbers such that Im(z(1)+z(2))=0 and Im...

    Text Solution

    |

  11. If alpha is an imaginary fifth root of unity then log (2)|1+alpha+alph...

    Text Solution

    |

  12. If |z+bar(z)|+|z-bar(z)|=8 then z lies on

    Text Solution

    |

  13. The equation |z+i|-|z-i|=k represents a hyperbola, if

    Text Solution

    |

  14. If |z|=k and w=(z-k)/(z+k), then Re (w)=

    Text Solution

    |

  15. If z is a complex number satisfying z^(4)+z^(3)+2 z^(2)+z+1=0 then |z|...

    Text Solution

    |

  16. If alpha is a non-real fifth root of unity, then 3^(|1+alpha+a^(2)+a^(...

    Text Solution

    |

  17. If alpha is a non-real fourth roots of unity, then the values of alpha...

    Text Solution

    |

  18. If x^(2)-x+1=0 then the value of sum(n=1)^(5)(x^(n)+(1)/(x^(n)))^(2) ...

    Text Solution

    |

  19. If arg (z)lttheta, then arg (-z)-arg (z)=

    Text Solution

    |

  20. If (sqrt(3)-i)^(n)=2^(n), n in Z, then n is a multiple of

    Text Solution

    |