Home
Class 12
MATHS
z and omega are two nonzero complex numb...

z and `omega` are two nonzero complex number such that `|z|=|omega|" and "Argz+Arg omega= pi` then z equals

A

`bar(omega)`

B

`-bar(omega)`

C

`pi`

D

`-omega`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|50 Videos
  • BINOMIAL THEOREM

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|51 Videos
  • CONIC SECTIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE - HYPERBOLA|9 Videos

Similar Questions

Explore conceptually related problems

If z and omega are two non-zero complex numbers such that |z omega|=1" and "arg(z)-arg(omega)=(pi)/(2) , then bar(z)omega is equal to

Let z and omega be two complex numbers such that |z|lt=1,|omega|lt=1 and |z-iomega|=|z-i bar omega|=2, then z equals (a) 1ori (b). ior-i (c). 1or-1 (d). ior-1

Let z, omega be complex numbers such that bar(z)+ibar(omega)=0" and "arg z omega= pi . Then arg z equals

Let za n dw be two nonzero complex numbers such that |z|=|w|a n d arg(z)+a r g(w)=pidot Then prove that z=- bar w dot

The modulus of the complex number z such that |z+3-i|=1" and "arg z= pi is equal to

If z_1a n dz_2 are two nonzero complex numbers such that = |z_1+z_2|=|z_1|+|z_2|, then a rgz_1-a r g z_2 is equal to -pi b. pi/2 c. 0 d. pi/2 e. pi

If omega is any complex number such that z omega=|z|^(2) and |z-barz|+|omega+baromega|=4 , then as omega varies, then the area bounded by the locus of z is

If z_1a n dz_2 are two complex numbers such that |z_1|=|z_2|a n d arg(z_1)+a r g(z_2)=pi , then show that z_1,=-( barz )_2dot

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

Let z be any non zero complex number then arg z + arg barz =

NEW JOYTHI PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTIONS FROM COMPETITIVE EXAMS
  1. If the roots of the equation x^(2)+2bx+c=0 are alpha" and "beta, " the...

    Text Solution

    |

  2. The equation whose roots are the squares of the roots of the eqation 2...

    Text Solution

    |

  3. z and omega are two nonzero complex number such that |z|=|omega|" and ...

    Text Solution

    |

  4. If |z-4| lt |z-2|, its solution is given by

    Text Solution

    |

  5. The locus of the centre of a circle which touches the circle |z-z(1)|=...

    Text Solution

    |

  6. If alpha ne beta" but "alpha^(2)=5 alpha-3" and "beta^(2)= 5 beta-3 th...

    Text Solution

    |

  7. Difference between the corresponding roots of x^(2)+ax+b=0" and "x^(2)...

    Text Solution

    |

  8. Product of real roots of the equation x^(2)+|x|+9=0

    Text Solution

    |

  9. If p and q are the roots of the equation x^(2)+px+q=0, then

    Text Solution

    |

  10. If a,b , c are distinct +ve real numbers and a^(2)+b^(2)+c^(2)=1" then...

    Text Solution

    |

  11. The value of a for which one root of the quadratic equation (a^(2)-5a+...

    Text Solution

    |

  12. If the sum of the roots of the quadratic equation ax^(2)+bx+c=0 is equ...

    Text Solution

    |

  13. The number of real solution of the equation x^(2)-3|x|+2=0 is

    Text Solution

    |

  14. If ((1+i)/(1-i))^(x)=1, then

    Text Solution

    |

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

    Text Solution

    |

  16. Let z(1)" and "z(2) be two roots of the equation z^(2)+az+b=0, z being...

    Text Solution

    |

  17. Let two numbers have arithmetic mean 9 and geometric mean 4. Then thes...

    Text Solution

    |

  18. If (1-p) is a root of quadratic equation x^(2)+px+(1-p)=0 then its roo...

    Text Solution

    |

  19. If one root of the equation x^(2)+px+12=0 is 4, while the equation x^(...

    Text Solution

    |

  20. Let z, omega be complex numbers such that bar(z)+ibar(omega)=0" and "a...

    Text Solution

    |