Home
Class 12
MATHS
If z(1)=8+4 i, z(2)=6+4 i and arg ((z-z(...

If `z_(1)=8+4 i, z_(2)=6+4 i` and arg `((z-z_(1))/(z-z_(2)))=(pi)/(4)` then z satisfies

A

1)`|z-7-4 i|=1`

B

2)`|z-7-5 i|=sqrt(2)`

C

3) `|z-4 i|=8`

D

4)`|z-7 i|=sqrt(18)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMMON ENTRANCE TEST -2016

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos

  • COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|297 Videos

Similar Questions

Explore conceptually related problems

If z_(1)=1+i, z_(2)=sqrt(3)+i, then arg ((z_(1))/(z_(2)))^(50)=

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

If z_(1)=sqrt(3)-i, z_(2)=1+i sqrt(3) , then amp (z_(1)+z_(2))=

If |(z-2)/(z+2)|=(pi)/(6) , then the locus of z is

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

If z^(1) =2 -I, z_(2)=1+i , find |(z_(1) + z_(2) + 1)/(z_(1)-z_(2) + 1)|

The complex numbers z_(1), z_(2), z_(3) satisfying (z_(1)-z_(3))/(z_(2)-z_(3))=(1-i sqrt(3))/(2) are the vertices of a triangle which is

If z(2-i)=3+I,z^(20) =

Let z_(1)=2-i, z_(2)=-2+i . Find the imaginary part of (1)/(z_(1)bar(z_(2)))

If z_(1)=9y^(2)-4-10ix , z_(2)=8y^(2)+20i , where z_(1)=z_(2) , then z=x+iy is equal to

HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
  1. If z ne 0 and Re z=0 then

    Text Solution

    |

  2. If z ne 0 and arg z=(pi)/(4), then

    Text Solution

    |

  3. If z(1)=8+4 i, z(2)=6+4 i and arg ((z-z(1))/(z-z(2)))=(pi)/(4) then z ...

    Text Solution

    |

  4. For positive integers n(1) and n(2) the value of the expression (1+i...

    Text Solution

    |

  5. If |{:(6i,-3i,1),(4,-3i,-1),(20,3,i):}|=x+iy, then :

    Text Solution

    |

  6. The value of the sum sum(n=1) ^(13) (i^(n)+i^(n+1)), where i = sqrt( -...

    Text Solution

    |

  7. If omega is an imaginary cube root of unity than (1+omega-omega^(2))^(...

    Text Solution

    |

  8. 4+5(-(1)/(2)+(i sqrt(3))/(2))^(334)+3(-(1)/(2)+(i sqrt(3))/(2))^(365)=

    Text Solution

    |

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

    Text Solution

    |

  10. Let z(1) and z(2) be n^(th ) roots of unity which subtend a right angl...

    Text Solution

    |

  11. Let omega=-(1)/(2)+i (sqrt(3))/(2), then the value of |[1,1,1],[1,-...

    Text Solution

    |

  12. The complex numbers z(1), z(2), z(3) satisfying (z(1)-z(3))/(z(2)-z(3)...

    Text Solution

    |

  13. For all complex numbers z(1), z(2) satisfying |z(1)|=12 and |z(2)-3-...

    Text Solution

    |

  14. If z is a complex number such that |z|=1, z ne 1, then the real part o...

    Text Solution

    |

  15. If omega be a cube root of unity and (1+omega^(2))^(n)=(1+omega^(4))^(...

    Text Solution

    |

  16. If |z|=1 and z ne pm 1, then all the values of (z)/(1-z^(2)) lie on

    Text Solution

    |

  17. The value of ((1+i sqrt(3))/(1-i sqrt(3)))^(6)+((1-i sqrt(3))/(1+i sqr...

    Text Solution

    |

  18. If alpha+ibeta=tan^(-1)z, z=x+iy and alpha is constant, then locus of ...

    Text Solution

    |

  19. The value of (i)^(i) is

    Text Solution

    |

  20. In the Argand diagram all the complex numbers z satisfying |z-4 i|+|z+...

    Text Solution

    |