Home
Class 12
MATHS
If z(1),z(2) and z(3), z(4) are two pair...

If `z_(1),z_(2)` and `z_(3), z_(4)` are two pairs of conjugate complex numbers, the find the value of `arg(z_(1)/z_(4)) + arg(z_(2)//z_(3))`.

A

0

B

`pi//2`

C

`3pi//2`

D

`pi`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|58 Videos

  • COMPLEX NUMBERS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|15 Videos

  • CIRCLES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|53 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|87 Videos

Similar Questions

Explore conceptually related problems

If z_1, z_2a n dz_3, z_4 are two pairs of conjugate complex numbers, then find the value of "a r g"(z_1//z_4)+a r g(z_2//z_3)dot

If z_(1),z_(2),z_(3),z_(4) are two pairs of conjugate complex numbers, then arg(z_(1)/z_(3)) + arg(z_(2)/z_(4)) is

If z_1, z_2a n dz_3, z_4 are two pairs of conjugate complex numbers, find the a rg((z1)/(z4))+a rg((z2)/(z3)) =0

If z_1,z_2 and z_3,z_4 are two pairs of conjugate complex numbers then arg(z_1/z_4)+arg(z_2/z_3)=

If z_(1),z_(2) and z_(3) be unimodular complex numbers, then the maximum value of |z_(1)-z_(2)|^(2)+|z_(2)-z_(3)|^(2)+|z_(3)-z_(1)|^(2) , is

If arg (z_(1)z_(2))=0 and |z_(1)|=|z_(2)|=1 , then

Find the value of z, if |z |= 4 and arg (z) = (5pi)/(6) .

For any two complex numbers z_(1),z_(2) the values of |z_(1)+z_(2)|^(2)+|z_(1)-z_(2)|^(2) , is

Let z_(1),z_(2),z_(3),z_(4) are distinct complex numbers satisfying |z|=1 and 4z_(3) = 3(z_(1) + z_(2)) , then |z_(1) - z_(2)| is equal to

Find the locus of z if arg ((z-1)/(z+1))= pi/4

OBJECTIVE RD SHARMA ENGLISH-COMPLEX NUMBERS -Exercise
  1. The value of sum(r=1)^(8)(sin((2rpi)/9)+icos((2rpi)/9)), is

    Text Solution

    |

  2. If z(1),z(2),z(3),…,z(n) are n,nth roots of unity, then for k=1,2,3,…n

    Text Solution

    |

  3. If z(1),z(2) and z(3), z(4) are two pairs of conjugate complex numbers...

    Text Solution

    |

  4. If |z(1)|=|z(2)| and arg (z(1))+"arg"(z(2))=0, then

    Text Solution

    |

  5. If one vertex of a square whose diagonals intersect at the origin is 3...

    Text Solution

    |

  6. The value of z satisfying the equation logz+logz^2+dot+logz^n=0i s

    Text Solution

    |

  7. If |z(1)|= |z(2)|= ….= |z(n)|=1, prove that |z(1) + z(2) + …+ z(n)|= |...

    Text Solution

    |

  8. If omega is a cube root of unity and (1+omega)^7=A+Bomega then find th...

    Text Solution

    |

  9. If omega(!=1) is a cube root of unity, then value of the determinant|1...

    Text Solution

    |

  10. Let z and omega be two non-zero complex numbers, such that |z|=|omega|...

    Text Solution

    |

  11. If z ne 0 be a complex number and "arg"(z)=pi//4, then

    Text Solution

    |

  12. (1+i)^8+(1-i)^8=?

    Text Solution

    |

  13. What is the smallest positive integer n for which (1+i)^(2n)=(1-i)^(2n...

    Text Solution

    |

  14. If alpha\ a n d\ beta are different complex numbers with |beta|=1,\ fi...

    Text Solution

    |

  15. For any complex number z, the minimum value of |z|+|z-1|, is

    Text Solution

    |

  16. If (3pi)/(2) gt alpha gt 2 pi, find the modulus and argument of (1 -...

    Text Solution

    |

  17. If the roots of (z-1)^n=i(z+1)^n are plotted in ten Arg and plane, the...

    Text Solution

    |

  18. Area of the triangle formed by 3 complex numbers, 1+i,i-1,2i, in the A...

    Text Solution

    |

  19. If omega is a comples cube root of unity, then (1 - omega + omega^(2) ...

    Text Solution

    |

  20. The locus represented by the equation |z-1| = |z-i| is

    Text Solution

    |