Home
Class 11
MATHS
If z is a complex number of unit modulus...

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

A

`(pi)/(2)-theta`

B

`theta`

C

`pi-theta`

D

`-theta`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise FREQUENTLY ASKED QUESTIONS|26 Videos

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise CHECK YOUR UNDERSTANDING|10 Videos

  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise COMPETITION FILE (JEE MAIN)|11 Videos

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST 11|12 Videos

Similar Questions

Explore conceptually related problems

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

If z is a complex number of unit modulus and argument q, then arg ((1+z)/(1+bar(z))) equal (1)(pi)/(2)-theta (2) theta(3)pi-theta(4)-theta

If z is a complex number of unit modulus and argument theta , then the real part of (z(1-barz))/(barz(1+z)) , is

Ifa complex number z has modulus 1 and argument (pi)/(3), then z^(2)+z

z=-sqrt(3)+i find modulus and argument

If z=1+i sqrt(3), then |arg(z)|+|arg(bar(z))| equals to

MODERN PUBLICATION-COMPLEX NUMBERS-COMPETITION FILE
  1. If the conjugate of a complex numbers is 1/(i-1), where i=sqrt(-1). Th...

    Text Solution

    |

  2. If |z- 4/z| = 2, then find the maximum value of |z|.

    Text Solution

    |

  3. The number of complex numbers z such that |z-1|=|z+1|=|z-i| is

    Text Solution

    |

  4. If alpha and beta are the roots of the equation x^2-x+1=0 , then alpha...

    Text Solution

    |

  5. Let alpha,beta be real and z be a complex number. If z^2+alphaz""+beta...

    Text Solution

    |

  6. If omega(!=1) is a cube root of unity, and (1""+omega)^7=""A""+""...

    Text Solution

    |

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

    Text Solution

    |

  8. Let z be a complex number such that the imaginary part of z is nonzero...

    Text Solution

    |

  9. If z is a complex number of unit modulus of modulus and argument thet...

    Text Solution

    |

  10. If z is a complex number such that |z|>=2 then the minimum value of |z...

    Text Solution

    |

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

    Text Solution

    |

  12. A value of theta for which (2+3isintheta)/(1-2isintheta) is purely ima...

    Text Solution

    |

  13. If ratio of the roots of the quadratic equation 3m^2x^2+m(m-4)x+2=0 is...

    Text Solution

    |

  14. Let (z-alpha)/(z+alpha) is purely imaginary and |z|=2, alphaepsilonR t...

    Text Solution

    |

  15. If one root of the quadratic equation X^(2)+px+q=0 is 2-sqrt(3) : wher...

    Text Solution

    |

  16. If S={(alpha+i)/(alpha-i),alphainR} then the S lies on

    Text Solution

    |

  17. Let z=((1+i)^(2))/(a-i)(agta) and |z|=sqrt((2)/(5)), then overline(z) ...

    Text Solution

    |