Home
Class 12
MATHS
The maximum value of |a r g(1/(1-z))|for...

The maximum value of `|a r g(1/(1-z))|for|z|=1,z!=1` is given by.

A

`pi/6`

B

`pi/3`

C

`pi/2`

D

`(2pi)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    ARIHANT MATHS ENGLISH|Exercise Complex Number Exercise 8|2 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS ENGLISH|Exercise Complex Number Exercise 7|11 Videos

  • CIRCLE

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|16 Videos

  • CONTINUITY AND DIFFERENTIABILITY

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

Similar Questions

Explore conceptually related problems

The maximum value of |a r g(1/(1-z))| for |z|=1, z!=1 is given by.

Find the minimum value of |z-1 if ||z-3|-|z+1||=2.

Find the minimum value of |z-1| if ||z-3|-|z+1||=2.

For any complex number z, maximum value of |z|-|z-1| is

Find the maximum and minimum values of |z| satisfying |z+(1)/(z)|=2

If |z""+""4|lt=3 , then the maximum value of |z""+""1| is (1) 4 (B) 10 (3) 6 (4) 0

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 z_1,z_2,z_3 are three complex numbers such that |z_1|=|z_2|=1 , find the maximum value of |z_1-z_2|^2+|z_2-z_3|^2+|z_3+z_1|^2

If |z+4| leq 3 then the maximum value of |z+1| is

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

ARIHANT MATHS ENGLISH-COMPLEX NUMBERS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. If z is any complex number satisfying abs(z-3-2i) le 2, where i=sqrt(-...

    Text Solution

    |

  2. The set {R e((2i z)/(1-z^2)): zi sacom p l e xnu m b e r ,|z|=1,z=+-1}...

    Text Solution

    |

  3. The maximum value of |a r g(1/(1-z))|for|z|=1,z!=1 is given by.

    Text Solution

    |

  4. about to only mathematics

    Text Solution

    |

  5. Let alpha and beta be real numbers and z be a complex number. If z^(2...

    Text Solution

    |

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

    Text Solution

    |

  7. Let z be a complex number such that the imaginary part of z is nonz...

    Text Solution

    |

  8. If z ne 1 and (z^(2))/(z-1) is real, then the point represented by the...

    Text Solution

    |

  9. If z is complex number of unit modulus and argument theta then arg ...

    Text Solution

    |

  10. Let complex numbers alpha and 1/alpha lies on circle (x-x0)^2+(y-y0)^2...

    Text Solution

    |

  11. Let w = (sqrt 3/2 + iota/2) and P = { w^n : n = 1,2,3, ..... }, Furthe...

    Text Solution

    |

  12. Express in the form of complex number if z=i^(-39)

    Text Solution

    |

  13. Express in the form of complex number (1-i)^4

    Text Solution

    |

  14. If z is a complex number such that |z|geq2 , then the minimum value...

    Text Solution

    |

  15. A complex number z is said to be unimodular if abs(z)=1. Suppose z(1) ...

    Text Solution

    |

  16. Let omega ne 1 be a complex cube root of unity. If (3-3omega+2omega^(2...

    Text Solution

    |

  17. For any integer k , let alphak=cos(kpi)/7+isin(kpi)/7,w h e r e i=sqrt...

    Text Solution

    |

  18. A value of theta for which (2+3i sin theta)/(1-2i sintheta) purely ima...

    Text Solution

    |

  19. Let 0 ne a, 0 ne b in R. Suppose S={z in C, z=1/(a+ibt)t in R, t ne ...

    Text Solution

    |

  20. Let omega be a complex number such that 2omega+1=z where z=sqrt(-3). I...

    Text Solution

    |