Home
Class 12
MATHS
If |z(1)|=|z(2)|=|z(3)|=|z(4)|, then the...

If `|z_(1)|=|z_(2)|=|z_(3)|=|z_(4)|`, then the points representing `z_(1),z_(2),z_(3),z_(4)` are :

A

concyclic

B

vertices of a square

C

vertices of a rhombus

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
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

|z_(1)+z_(2)|=|z_(1)|+|z_(2)| is possible if

If |z_(1)+z_(2)|=|z_(1)-z_(2)| , then the difference of the arguments of z_(1) and z_(2) is

If |z_(1)|=|z_(2)| and arg z_(1) + arg z_(2)=0 then

If |z_(1)|=|z_(2)|=|z_(3)|=1 and z_(1)+z_(2)+z_(3)=0 , then z_(1),z_(2),z_(3) are vertices of

If z_(1),z_(2),z_(3) are complex numbers such that : |z_(1)|=|z_(2)|=|z_(3)|=|(1)/(z_(1))+(1)/(z_(2))+(1)/(z_(3))|=1 , then |z_(1)+z_(2)+z_(3)| is equal to

If |z^(2)-1|=|z|^(2)+1 , then z lies on :

If |z_(1)| = 1, |z_(2)| =2, |z_(3)|=3, and |9z_(1)z_(2) + 4z_(1)z_(3)+ z_(2)z_(3)|= 12 , then find the value of |z_(1) + z_(2) + z_(3)| .

If |z_(1)-1|lt2,|z_(2)-2|lt1 , then |z_(1)+z_(2)|

If |z_(1)|=|z_(2)| and arg (z_(1)//z_(2))=pi, then find z_(1)+z_(2) .

If |z_(1)|=|z_(2)|=…... .=|z_(n)|=1 then |z_(1)+z_(2)+ .+z_(n)|=

MODERN PUBLICATION-COMPLEX NUMBERS-Multiple Choice Questions (Level-II)
  1. If z(1)=9y^(2)-4-10ix, z(2)=8y^(2)+20i, where z(1)=z(2) , then z=x+iy ...

    Text Solution

    |

  2. If 1+x^(2)=sqrt(3)x, then sum(n=1)^(24)(x^(n)-(1)/(x^(n)))^(2) equals

    Text Solution

    |

  3. If |z(1)|=|z(2)|=|z(3)|=|z(4)|, then the points representing z(1),z(2)...

    Text Solution

    |

  4. If z(1),z(2),z(3) represent the vertices of an equilateral triangle su...

    Text Solution

    |

  5. If alpha,beta are two complex numbers such that |alpha|=1, |beta|=1, t...

    Text Solution

    |

  6. If ((a+ib)^(2))/(a-ib)-((a-ib)^(2))/(a+ib)=x+iy, then x equals

    Text Solution

    |

  7. If alpha is the nth root of unity then 1+2alpha+3alpha^(2)+..............

    Text Solution

    |

  8. If (pi)/(2) lt alpha lt (3pi)/(2), the modulus and argument form of (1...

    Text Solution

    |

  9. If log(1//2).(|z|^(2)+2|z|+4)/(2|z|^(2)+1) lt 0, then the region trace...

    Text Solution

    |

  10. If z(1),z(2),z(3) are the vertices of an equilateral triangle in the A...

    Text Solution

    |

  11. If alpha,beta and gamma are the roots of x^(3)-3x^(2)+3x+7, where omeg...

    Text Solution

    |

  12. The value of the expression : 2(1+omega)(1+omega^(2))+3(2omega+1)(2o...

    Text Solution

    |

  13. If |ak|< 3, 1 le k le n, then all complex numbers z satisfying equatio...

    Text Solution

    |

  14. If z(1),z(2),z(3) are the affixes of the vertices of a triangle having...

    Text Solution

    |

  15. If x=costheta+isintheta, y=cosphi+isinphi, z=cosPsi+isinPsi and (y)/(z...

    Text Solution

    |

  16. " If Z\inC satisfies |z|>=3 then the least value of |z+(1)/(z)| is

    Text Solution

    |

  17. tan(ilog((a+ib)/(a-ib)))=

    Text Solution

    |

  18. If z(1)=9y^(2)-4-10ix, z(2)=8y^(2)+20i, where z(1)=barz(2) , then z=x+...

    Text Solution

    |

  19. The value of sum(k=1)^(13)(i^(n)+i^(n+1)), where i=sqrt(-1) equals :

    Text Solution

    |

  20. If z(1),z(2),z(3) are complex numbers such that : |z(1)|=|z(2)|=|z(3)|...

    Text Solution

    |