Home
Class 12
MATHS
If z is a complex number of unit modulus...

If z is a complex number of unit modulus and argument `theta` then, arg `((1+z)/(1-z))` equals:

A

`- theta`

B

`(pi)/(2) - theta`

C

`theta`

D

`pi - theta`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|93 Videos

  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise EXERCISE - I|49 Videos

  • CIRCLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|164 Videos

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise Exercise (Level-2)|38 Videos

Similar Questions

Explore conceptually related problems

If z is a complex number of unit modulus and argument theta then, arg ((1+z)/(1+zbar)) equals:

Find modulus and argument of the complex numbers z=-1-isqrt(3)

Find modulus and argument of the complex numbers z=-sqrt(3)+i

Let z,w be complex number such that barz+ibarw=0 and arg zw =pi . Then arg z =

The complex number z has argument theta ,0 lt theta lt (pi)/(2) and satisfy the equation |z-3i|=3 . Then prove that ( cot theta-(6)/(z))=i

If z is a complex number satisfying the relation |z+1| = z + 2 (1 +i) , then z is

If a point p dentes a complex number z=x+iy in the argand plane and if (z+1)/(z+i) is a purely real number , then the locus of p is

If a complex number |z ^2-1|=|z|^2+1 , then z lies on :

AAKASH SERIES-COMPLEX NUMBERS-EXERCISE -II
  1. If (a(1) + ib(1)) (a(2) + ib(2)) … (a(n) + ib(n)) = A + iB then Tan^...

    Text Solution

    |

  2. If z and omega are two non-zero complex numbers such that |zomega| =1...

    Text Solution

    |

  3. If z is a complex number of unit modulus and argument theta then, arg ...

    Text Solution

    |

  4. sqrt(4ab - 2i (a^(2) - b^(2) ) =

    Text Solution

    |

  5. x + isqrt(x^(4) + x^(2) + 1)) =

    Text Solution

    |

  6. If sqrt(x+ iy) = pm (a + ib) then sqrt(x-iy) =

    Text Solution

    |

  7. (1 - omega) (1 - omega^(2)) (1 - omega^(4)) (1 - omega^(5)) (1 - omega...

    Text Solution

    |

  8. If omega is a imaginary cube root of unity , then 225 + (3 omega + 8 o...

    Text Solution

    |

  9. (1 - omega + omega^(2)) ( 1 - omega^(2) + omega^(4)) ( 1- omega^(4) + ...

    Text Solution

    |

  10. If omega is a complex cube root of unity , then (x + 1) ( x + omega) (...

    Text Solution

    |

  11. If 1 , omega , omega^(2) are the cube roots of unity , then (x + y + z...

    Text Solution

    |

  12. 4 + 5 ( - (1)/(2) + (isqrt3)/(2))^(334) + 3 ( - (1)/(2) + (isqrt3)/(2)...

    Text Solution

    |

  13. If a = cos "" (4pi)/(3) + isin "" (4pi)/(3) then ((1 + a)/(2))^(3n) =

    Text Solution

    |

  14. If omega is a cube root of unity , then |{:( 1 , omega , 2 omega^(2)...

    Text Solution

    |

  15. If x^(2) + x + 1 =0 , then the value of (x + (1)/(x))^(2) + (x^(2) + ...

    Text Solution

    |

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

    Text Solution

    |

  17. If omega is a complex cube root of unity , then the value of (a + b o...

    Text Solution

    |

  18. If omega is a complex cube root unity then sin { (omega^(10) + omega^(...

    Text Solution

    |

  19. If z + (1)/(z) = -1 then z^(5) + (1)/(z^(5)) =

    Text Solution

    |

  20. If (omega ne1) is a cube root of unity , then {:(1 , 1 + i+ omega^(2...

    Text Solution

    |