Home
Class 12
MATHS
Let za n dw be two non-zero complex numb...

Let `za n dw` be two non-zero complex number such that `|z|=|w|` and `a r g(z)+a r g(w)=pi` , then `z` equals. `w` (b) `-w` (c) ` w ` (d) `- w `

A

`barw`

B

`-barw`

C

`w`

D

`-w`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise Latest Questions from AJEE/JEE examinations|10 Videos
  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise Questions from karnataka CET & COMED|15 Videos
  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise Questions from karnataka CET & COMED|15 Videos
  • CIRCLES AND SYSTEMS OF CIRCLES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|12 Videos
  • DEFINITE INTEGRALS

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|21 Videos

Similar Questions

Explore conceptually related problems

Let z and w be two non-zero complex numbers such that |z|=|w| and arg. (z)+ arg. (w)=pi . Then z equals :

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

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

The complex number z is such that |z|=1 , z ne -1 and w=(z-1)/(z+1) . Then real part of w is

If |z|=k and w=(z-k)/(z+k) , then Re (w)=

Let z_(1) and z_(2) be two distinct complex numbers and let z=(1-t)z_(1)+tz_(2) for some real number t with 0 lt t lt 1 . If Arg (w) denotes the principal argument of a non zero complex number w , then

If |z|=1 and w=(z-1)/(z+1) (where z ne -1 ), then Re (w) is :

If w=(z)/(z-(1)/(3)i) and |w|=1 , then z lies on

If omega != 1 is the complex root of unity and matrix H = [(omega , 0),(0,omega)] then H^(70) is equal to :

Let omega be a complex cube a root of unity with omega != 1 . A fair die is thrown three times . If r_(1),r_(2) and r_(3) are the numbers obtained on the die , then the probability that omega^(r_(1))+omega^(r_(2))+omega^(r_(3))= 0 is :

MODERN PUBLICATION-COMPLEX NUMBERS-Multiple Choice Questions (Level-II)
  1. If z(1),z(2),z(3) are complex numbers such that : |z(1)|=|z(2)|=|z(3)|...

    Text Solution

    |

  2. If omega is the cube root of unity of the equation z^(3)=1, then the v...

    Text Solution

    |

  3. Let za n dw be two non-zero complex number such that |z|=|w| and a r g...

    Text Solution

    |

  4. For all complex numbers z1,z2 satisfying |z1|=12 and |z2-3-4i|=5, fin...

    Text Solution

    |

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

    Text Solution

    |

  6. If |z|=1 and w=(z-1)/(z+1) (where z ne -1), then Re (w) is :

    Text Solution

    |

  7. The complex number z is such that |z|=1, z ne -1 and w=(z-1)/(z+1). T...

    Text Solution

    |

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

    Text Solution

    |

  9. If z(1) and z(2) are two non-zero complex numbers such that |z(1)+z(2)...

    Text Solution

    |

  10. If w=(z)/(z-(1)/(3)i) and |w|=1, then z lies on

    Text Solution

    |

  11. If a,b,c are integers not all equal and omega is a cube root of unity ...

    Text Solution

    |

  12. If w=alpha+ibeta, where beta ne 0 and z ne 1, satisfies the condition ...

    Text Solution

    |

  13. A man walks a distance of 3 units from the origin towards the North...

    Text Solution

    |

  14. If |z|=1a n dz!=+-1, then all the values of z/(1-z^2) lie on a line no...

    Text Solution

    |

  15. If |z""+""4|lt=3 , then the maximum value of |z""+""1| is (1) 4...

    Text Solution

    |

  16. The conjugate of a complex number is (1)/(i-1). Then the complex numbe...

    Text Solution

    |

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

    Text Solution

    |

  18. Let z=x+iy be a complex number, where x and y are integers. Then the a...

    Text Solution

    |

  19. If cosalpha+cosbeta+cosgamma=sinalpha+sinbeta+singamma=0, then

    Text Solution

    |

  20. Let A(0)A(1)A(2)A(3)A(4)A(5) be a regular hexagon inscribed in a circl...

    Text Solution

    |