Home
Class 12
MATHS
If |(z-1)/(z-3)| = 2 then the locus of z...

If `|(z-1)/(z-3)|` = 2 then the locus of z = x +iy is

A

`x^(2) + y^(2) + x - y = 0`

B

`x^(2) + y^(2) - 4 x - 6y - 12 = 0`

C

`x^(2) + y^(2) + 4x - 2y = 0`

D

`3x^(2) + 3y^(2) - 22 x + 35 = 0`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise EXERCISE -II|126 Videos

  • CIRCLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|164 Videos

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise Exercise (Level-2)|38 Videos

Similar Questions

Explore conceptually related problems

If Im ((z-1)/(z+1))=0 then the locus of z = x + iy is

If |z-3+i| = 4 then the locus of z = x +iy is

If |(z - 4bari)/(z-2)| = 2 then the locus of z is

If |z -2 - 3i| = 5 then the locus of z = x +iy is

If z(barz+3)=2 then the locus of z = x + iy is

If Amp ((z+2)/(z-4i))=pi/2 then the locus of z = x + iy is .

If |z-1| = 2 then the locus of z is

If |(z-i)/(z+i)|=1 then the locus of z is

If Re ((z+3)/(z-2i))=0 then the locus of z = x +iy is

If Arg ((z+1)/(z-1))=pi/6 then the locus of z = x + iy is

AAKASH SERIES-COMPLEX NUMBERS-PRACTICE EXERCISE
  1. If z = x + iy and if the point P in the Argand plane represents z , th...

    Text Solution

    |

  2. If |z-3+i| = 4 then the locus of z = x +iy is

    Text Solution

    |

  3. If |(z-1)/(z-3)| = 2 then the locus of z = x +iy is

    Text Solution

    |

  4. The locus of the point z = x +iy satisfying the equation |(z-1)/(z+1)|...

    Text Solution

    |

  5. The equation of the locus of 2 such that |(z-i)/(z+i)|=2, where z = x ...

    Text Solution

    |

  6. The locus of the point z in the argrand plane for which |z+1|^2+|z-1|^...

    Text Solution

    |

  7. If |z+i|^2-|z-i|^2=3 then the locus of z is

    Text Solution

    |

  8. The points representing the complex numbers z for which |z+4|^2-|z-4|^...

    Text Solution

    |

  9. If (2z(1))/(3z(2)) is purely , an imaginary number , then |(z(1) - z(2...

    Text Solution

    |

  10. If |z(1) | = |z(2)| = 1 , then |z(1) + z(2)| =

    Text Solution

    |

  11. The modulus of sqrt2i-sqrt(-2i) is

    Text Solution

    |

  12. If |z-1| = 2 then the locus of z is

    Text Solution

    |

  13. If |z + 1| = sqrt2 | z- 1| and z is a complex number , then the locus ...

    Text Solution

    |

  14. If the complex numbers z(1) , z(2) , z(3) represents the vertices of a...

    Text Solution

    |

  15. If z = 2e^(i"" (pi)/(4)) then |e^(iz)| =

    Text Solution

    |

  16. If |z + barz| + |z - barz| , then the locus of z is

    Text Solution

    |

  17. If |z + 4| + |z - 4| = 10 represents an ellipse then length of its min...

    Text Solution

    |

  18. The region represented by |z+a|+|z-a| lt4a is

    Text Solution

    |

  19. |z-4|lt|z-2| represents the region given by

    Text Solution

    |

  20. For any two complex numbers z(1) & z(2) and any two real numbers a , b...

    Text Solution

    |