Home
Class 12
MATHS
Let z,w be complex numbers such that bar...

Let `z,w` be complex numbers such that `barz+ibarw=0` and arg `zw=pi`. Then arg z equals

A

`(pi)/(4)`

B

`(5 pi)/(4)`

C

`(3 pi)/(4)`

D

`(pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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

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

Let z and w be two non-zero complex numbers such that |z|=|w| and arg. (z)+ arg. (w)=pi . Then z equals :

If z is a complex number such that z=-bar(z) then

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 is a complex number then

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

Let z be a comples number such that the imaginary part of z is non-zero and a=z^(2)+z+1 is real. Then a cannot take the value :

The number of complex numbers z such that |z-1|=|z+1|=|z-i| equals

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

HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
  1. If ((1+i)/(1-i))^(x)=1, then x=

    Text Solution

    |

  2. If 1, omega, omega^(2) are the cube roots of unity, then [[1, omega^...

    Text Solution

    |

  3. Let z,w be complex numbers such that barz+ibarw=0 and arg zw=pi. Then ...

    Text Solution

    |

  4. If z=x-i y and z^(1 / 3)=p+i q then ((x)/(p)+(y)/(q)) div(p^(2)+q^(...

    Text Solution

    |

  5. If |z^(2)-1|=|z|^(2)+1, then z lies on :

    Text Solution

    |

  6. If the cube root of unity are 1,omega,omega^(2), then the roots of the...

    Text Solution

    |

  7. If omega=(z)/(z-(i)(3)) and |omega|=1, the z lies on

    Text Solution

    |

  8. If w=alpha+ibeta, where beta ne 0 and z ne 1, satisfies the condition ...

    Text Solution

    |

  9. The value of sum(k=1) ^(10)( sin "" ( 2kpi )/( 11) + i cos "" ( 2kpi )...

    Text Solution

    |

  10. If z^(2)+z+1=0 then sum(r=1)^(6)(z^(r)+(1)/(z^(r)))^(2)=

    Text Solution

    |

  11. If |z+4| le 3, then the maximum value of |z+1| is

    Text Solution

    |

  12. The values of x and y which satisfy the equation ((1+i) x-2 i)/(3+i)...

    Text Solution

    |

  13. The complex plane of z=x+iy, which satisfies the equation |(z-5i)/(z+5...

    Text Solution

    |

  14. If z=((sqrt(3))/(2)+(i)/(2))^(5)+((sqrt(3))/(2)-(i)/(2))^(5), then:

    Text Solution

    |

  15. The points z(1),z(2),z(3),z(4) in complex plane are the vertices of a ...

    Text Solution

    |

  16. If z=x+iy and w=(1-iz)/(1+iz) , then |w|=1 implies that, in the comple...

    Text Solution

    |

  17. If z(1),z(2),z(3) represent the vertices of an equilateral triangle su...

    Text Solution

    |

  18. If z(1), z(2), z(3) are three complex numbers in A.P., then they lie o...

    Text Solution

    |

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

    Text Solution

    |

  20. sin x+i cos 2 x and cos x-i sin 2 x are conjugate to each other for,

    Text Solution

    |