Home
Class 12
MATHS
If z1 and z2, are two non-zero complex...

If `z_1 and z_2`, are two non-zero complex numbers such tha `|z_1+z_2|=|z_1|+|z_2|` then `arg(z_1)-arg(z_2)` is equal to

A

`-pi`

B

`-pi//2`

C

`pi//2`

D

0

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|12 Videos
  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|16 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|20 Videos

Similar Questions

Explore conceptually related problems

If z_1 and z_2 are two nonzero complex numbers such that |z_1-z_2|=|z_1|-|z_2| then arg z_1 -arg z_2 is equal to

If z_(1) and z_(2), are two non-zero complex numbers such tha |z_(1)+z_(2)|=|z_(1)|+|z_(2)| then arg(z_(1))-arg(z_(2)) is equal to

If z_(1) and z_(2), are two non-zero complex numbers such that |z_(1)+z_(2)|=|z_(1)|+|z_(2)| then arg(z_(1))-arg(z_(2)) is equal to (1)0(2)-(pi)/(2) (3) (pi)/(2)(4)-pi

If z_1 and z_2 are two non zero complex number such that |z_1+z_2|=|z_1|+|z_2| then arg z_1-argz_2 is equal to (A) - pi/2 (B) 0 (C) -pi (D) pi/2

If z_(1)&z_(2) are two non-zero complex numbers such that |z_(1)+z_(2)|=|z_(1)|+|z_(2)|, then arg (z_(1))-arg(z_(2)) is equal to a.-pi b.-(pi)/(2)c*(pi)/(2) d.0

If z_1 and z_2 are two distinct non-zero complex number such that |z_1|= |z_2| , then (z_1+ z_2)/(z_1 - z_2) is always

If z_(1), and z_(2) are the two complex numbers such that|z_(1)|=|z_(2)|+|z_(1)-z_(2)| then find arg(z_(1))-arg(z_(2))

ARIHANT MATHS-COMPLEX NUMBERS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. If omega is a cube root of unity but not equal to 1, then minimum valu...

    Text Solution

    |

  2. If one of the vertices of the square circumscribing the circle |z - 1|...

    Text Solution

    |

  3. If z1 and z2, are two non-zero complex numbers such tha |z1+z2|=|z1...

    Text Solution

    |

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

    Text Solution

    |

  5. If omega = z//[z-(1//3)i] and |omega| = 1, then find the locus of z.

    Text Solution

    |

  6. If w=alpha+ibeta where Beta 0 and z ne 1 satisfies the condition that...

    Text Solution

    |

  7. Find the value of sum(k=1)^10[sin((2pik)/(11))-icos((2pik)/(11))],wher...

    Text Solution

    |

  8. If z^2+z+1=0 where z is a complex number, then the value of (z+1/z)^2+...

    Text Solution

    |

  9. A man walks a distance of 3 units from the origin towards north-east t...

    Text Solution

    |

  10. If |z|=1 and z!=+-1, then all the values of z/(1-z^2) lie on

    Text Solution

    |

  11. If abs(z+4) le 3, the maximum value of abs(z+1) is

    Text Solution

    |

  12. Let A, B, C be three sets of complex number as defined below: A={z:Img...

    Text Solution

    |

  13. Let A,B and C be three sets of complex numbers as defined below: {:(,A...

    Text Solution

    |

  14. Let A,B and C be three sets of complex numbers as defined below: {:(,A...

    Text Solution

    |

  15. A particle P starts from the point z0=1+2i , where i=sqrt(-1) . It mov...

    Text Solution

    |

  16. If the conjugate of a complex numbers is 1/(i-1), where i=sqrt(-1). Th...

    Text Solution

    |

  17. Let z=x+i y be a complex number where xa n dy are integers. Then, the ...

    Text Solution

    |

  18. Let z=costheta+isintheta. Then the value of sum(m->1-15)Img(z^(2m-1...

    Text Solution

    |

  19. If |Z-4/Z|=2 then maximum value of |Z| is equal to

    Text Solution

    |

  20. Let z(1) and z(2) be two distinct complex numbers and z=(1-t)z(1)+iz(2...

    Text Solution

    |