Home
Class 11
MATHS
if z and w are two non-zero complex numb...

if z and w are two non-zero complex numbers such that `absz=absw` and `argz+argw=pi`, then z=

A

`barw`

B

-barw

C

w

D

-w

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    PATHFINDER|Exercise QUESTION BANK|198 Videos

  • COMPLEX NUMBERS

    PATHFINDER|Exercise QUESTION BANK|67 Videos

Similar Questions

Explore conceptually related problems

If z and w are two non-zero complex numbers such that |z| =|w|and arg z + arg w =pi, then the value of z is equal to-

If z and w are two nonzero complex numbers such the abs(zw)=1 and arg(z)-arg(w)=pi/2 then barzw is equal to

If z and w are two non-zero complex numbes such that |z|=|w|and argz+arg.w= pi ,then the value of z is

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

If z_1 and z_2 are non zero complex numbers such that abs(z_1-z_2)=absz_1+absz_2 then

If z_1a n dz_2 are two nonzero complex numbers such that = |z_1+z_2|=|z_1|+|z_2|, then a rgz_1-a r g z_2 is equal to -pi b. pi/2 c. 0 d. pi/2 e. pi

If z_1=a+ib and z_2=c+id are complex numbers such that abs(z_1)=abs(z_2)=1 and Re(z_1barz_2)=0 , then the pair of complex numbers omega_1=a+ic and omega_2=b+id satisfies:

If z_1 and z_2 be two non-zero complex numbers such that |z_1+z_2|=|z_1|+|z_2| ,then prove that argz_1-argz_2=0 .

if z_1 and z_2 are two complex numbers such that absz_1lt1ltabsz_2 then prove that abs(1-z_1barz_2)/abs(z_1-z_2)lt1

If z_1,z_2 are two non zero complex numbers such that z_1/z_2+z_2/z_1=1 then z_1,z_2 and the origin are

PATHFINDER-COMPLEX NUMBER-QUESTION BANK
  1. z1 and z2 be two complex no. then prove that abs(z1+z2)^2+abs(z1-z2)^2...

    Text Solution

    |

  2. For all complex numbers z1, z2 satisfying absz1=12 and abs(z2-3-4i)=5,...

    Text Solution

    |

  3. if z and w are two non-zero complex numbers such that absz=absw and ar...

    Text Solution

    |

  4. If z1, z2, z3, z4 represent the vertices of a rhombus in anticlockwise...

    Text Solution

    |

  5. If (x+iy)^7=a+ib, then (y+ix)^7 is equal to

    Text Solution

    |

  6. (1+i)^(n1)+(1+i^3)^(n1)+(1+i^5)^(n2)+(1+i^7)^(n2) is a real number if

    Text Solution

    |

  7. The value of underset(k=1)overset10sum(-sin((2kpi)/11)+icos((2kpi)/11)...

    Text Solution

    |

  8. If amp(z1z2)=0 and absz1=absz2=1, then

    Text Solution

    |

  9. if z1, z2, z3 are the vertices pf an equilateral triangle inscribed in...

    Text Solution

    |

  10. if amp (z-1)/(z+1)=pi/3, then the locus of z is

    Text Solution

    |

  11. If e^(ialpha)=cosalpha+isinalpha, then for the DeltaABC, the value of ...

    Text Solution

    |

  12. The equation zbarz+(4-3i)z+(4+3i)barz+5=0 represents a circle of radiu...

    Text Solution

    |

  13. Let z1 and z2 be two distinct complex numbers and let z= (1-t)z1+tz2 f...

    Text Solution

    |

  14. The roots of the equation Z^3+1=0 are called cube roots of unity.Clear...

    Text Solution

    |

  15. The roots of the equation Z^3+1=0 are called cube roots of unity.Clear...

    Text Solution

    |

  16. LetA(z1),B(z2) and C(z3) be the three points in Argands plane The po...

    Text Solution

    |

  17. LetA(z1),B(z2) and C(z3) be the three points in Argands plane The po...

    Text Solution

    |

  18. Match List - I with List-II

    Text Solution

    |

  19. Match List - I with List-II

    Text Solution

    |

  20. If Argzlt0 then (Arg(-z)-Arg(z))/(pi(cos(pi/3)) is equal to

    Text Solution

    |