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

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)))` equals

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

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPER|17 Videos

  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise EXERCISE NUMERICAL ANSWER TYPE QUESTIONS|20 Videos

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|17 Videos

  • DEFINITE INTEGRALS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|18 Videos

Similar Questions

Explore conceptually related problems

If z_(1),z_(2) and z_(3),z_(4) are two pairs of conjugate complex numbers,prove that arg ((z_(1))/(z_(4)))+arg((z_(2))/(z_(3)))=0

If z^(1),z^(2) and z^(3),z^(4) are two pairs of conjugate complex number, then find arg 2((z_(1))/(z_(4)))+ ((z_(2))/(z_(3))).

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_(2) and z_(3),z_(4) are two pairs of conjugate complex numbers,hen find the value of arg(z_(1)/z_(4))+arg(z_(2)/z_(3))*a

arg((z_(1))/(z_(2)))=arg(z_(1))-arg(z_(2))

arg(z_(1)z_(2))=arg(z_(1))+arg(z_(2))

MCGROW HILL PUBLICATION-COMPLEX NUMBERS -QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
  1. If z is a complex number such that |z|>=2 then the minimum value of |z...

    Text Solution

    |

  2. Let w(Im w != 0) be a complex number. Then the set of all complex num...

    Text Solution

    |

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

    Text Solution

    |

  4. Let z!=i be any complex number such that (z-i)/(z+i) is a purely imagi...

    Text Solution

    |

  5. For all complex numbers z of the form 1 + ialpha, alpha in "R if z"^(2...

    Text Solution

    |

  6. A complex number z is said to be uni-modular if |z|=1. Suppose z(1) a...

    Text Solution

    |

  7. The largest value of r for which the region represented by the set {om...

    Text Solution

    |

  8. If Z is a non-real complex number, then find the minimum value of (Imz...

    Text Solution

    |

  9. A value of for which (2+3isintheta)/(1-2isintheta) purely imaginary, ...

    Text Solution

    |

  10. The point represented by 2+i in the Argand plane moves 1 unit eastward...

    Text Solution

    |

  11. Let z=1+ai be a complex number, a > 0,such that z^3 is a real number....

    Text Solution

    |

  12. Let zinC, the set of complex numbers. Thenthe equation, 2|z +3i| - |z...

    Text Solution

    |

  13. The equation I m((i z-2)/(z-i))+1=0, z & epsi; C , z!=i represents a ...

    Text Solution

    |

  14. If alpha, beta in C are the distinct roots of the equation x^(2)-x+1=0...

    Text Solution

    |

  15. The set of all alpha in R for which w = (1+(1-8 alpha)z)/(1-z)is a pur...

    Text Solution

    |

  16. If |z - 3+ 2i| leq 4, (where i = sqrt-1) then the difference of grea...

    Text Solution

    |

  17. The least positive integer n for which ((1+sqrt(3)i)/(1-sqrt(3)i))^(n)...

    Text Solution

    |

  18. Let A={theta in (-pi /2,pi):(3+2i sin theta )/(1-2 sin theta ) is pure...

    Text Solution

    |

  19. Let Z0 is the root of equation x^2+x+1=0 and Z=3+6i(Z0)^(81)-3i(Z0)^(9...

    Text Solution

    |

  20. Let z(1) and z(2) be any two non-zero complex numbers such that 3|z(1)...

    Text Solution

    |