Home
Class 12
MATHS
If z ne 0 and arg z=(pi)/(4), then...

If `z ne 0` and arg `z=(pi)/(4)`, then

A

Re `z^(2)=0`

B

Im `z^(2)=0`

C

Re `z`=Im `z`

D

none

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

If z ne 0 and Re z=0 then

Let z be a complex number such that |z| = 4 and arg (z) = 5pi//6, then z =

If z and w are two non-zero complex numbers such that |zw|=1 and arg(z)-arg(w)=(pi)/(2) , then barzw is equal to

If z ne 1 and (z^(2))/(z-1) is real, then the point represented by the complex number z lies

If |z_(1)|=|z_(2)| and arg (z_(1)//z_(2))=pi, then find z_(1)+z_(2) .

The complex number z is such that |z|=1 , z ne -1 and w=(z-1)/(z+1) . Then real part of w is

If tan ^(-1) x+tan ^(-1) y+tan ^(-1) z=(pi)/(2), then 1-x y-y z-z x=

If arg (z_(1))=(17pi)/18 and arg (z_(2))=(7pi)/18, find the principal argument of z_(1)z_(2) and (z_(1)//z_(2)).

If z=x+i y is a variable complex number such that arg ((z-1)/(z+1))=(pi/4) , then

If the amplitude of z-2-3 i is (pi)/(4) , then the locus of z=x+i y is

HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
  1. The complex number (1+2i)/(1-i) lies in

    Text Solution

    |

  2. If z ne 0 and Re z=0 then

    Text Solution

    |

  3. If z ne 0 and arg z=(pi)/(4), then

    Text Solution

    |

  4. If z(1)=8+4 i, z(2)=6+4 i and arg ((z-z(1))/(z-z(2)))=(pi)/(4) then z ...

    Text Solution

    |

  5. For positive integers n(1) and n(2) the value of the expression (1+i...

    Text Solution

    |

  6. If |{:(6i,-3i,1),(4,-3i,-1),(20,3,i):}|=x+iy, then :

    Text Solution

    |

  7. The value of the sum sum(n=1) ^(13) (i^(n)+i^(n+1)), where i = sqrt( -...

    Text Solution

    |

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

    Text Solution

    |

  9. 4+5(-(1)/(2)+(i sqrt(3))/(2))^(334)+3(-(1)/(2)+(i sqrt(3))/(2))^(365)=

    Text Solution

    |

  10. If z(1),z(2),z(3) are complex numbers such that : |z(1)|=|z(2)|=|z(3)|...

    Text Solution

    |

  11. Let z(1) and z(2) be n^(th ) roots of unity which subtend a right angl...

    Text Solution

    |

  12. Let omega=-(1)/(2)+i (sqrt(3))/(2), then the value of |[1,1,1],[1,-...

    Text Solution

    |

  13. The complex numbers z(1), z(2), z(3) satisfying (z(1)-z(3))/(z(2)-z(3)...

    Text Solution

    |

  14. For all complex numbers z(1), z(2) satisfying |z(1)|=12 and |z(2)-3-...

    Text Solution

    |

  15. If z is a complex number such that |z|=1, z ne 1, then the real part o...

    Text Solution

    |

  16. If omega be a cube root of unity and (1+omega^(2))^(n)=(1+omega^(4))^(...

    Text Solution

    |

  17. If |z|=1 and z ne pm 1, then all the values of (z)/(1-z^(2)) lie on

    Text Solution

    |

  18. The value of ((1+i sqrt(3))/(1-i sqrt(3)))^(6)+((1-i sqrt(3))/(1+i sqr...

    Text Solution

    |

  19. If alpha+ibeta=tan^(-1)z, z=x+iy and alpha is constant, then locus of ...

    Text Solution

    |

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

    Text Solution

    |