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^2-4x-6y-12=0`

C

`x^2+y^2-3x-2y=0`

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 1)|6 Videos
  • COMPLEX NUMBERS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 2)|6 Videos
  • COMPLEX NUMBERS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 4)|5 Videos
  • CIRCLE

    DIPTI PUBLICATION ( AP EAMET)|Exercise Set 4|4 Videos
  • COORDINATE SYSTEM (2D)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS)|12 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

If |z -2 - 3i| = 5 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

DIPTI PUBLICATION ( AP EAMET)-COMPLEX NUMBERS -EXERCISE 1
  1. If |3z-2|=5 then the locus of z is

    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. If |(z-a)/(z+a)|=1 where Re (a)ne0 then locus of z = x +iy is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. The locus of the point z = x + iy satisfying |(z-2i)/(z+2i)|=1 is

    Text Solution

    |

  9. If |(z+4i)/(z-2)|=2 then the locus of z is

    Text Solution

    |

  10. The complex number z = x + iy which satisfy the equation |(z-5i)/(z+5i...

    Text Solution

    |

  11. The complex equation |z+1-i|=|z+i-1| represents a

    Text Solution

    |

  12. The locus represented by |z-1|=|z+i| is

    Text Solution

    |

  13. If a is real number such that |z-ai|=|z+ai| , then the locus of z is

    Text Solution

    |

  14. In the Argand Diagrams , all the complex number z satisfying |z-4i|+|z...

    Text Solution

    |

  15. The locus of z satisfying |z|+|z-1|= 3 is

    Text Solution

    |

  16. If omega=z/(z-1/3i) and |omega|=1 then z lies on

    Text Solution

    |

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

    Text Solution

    |

  18. The locus of z such that |z-1|^2+|z+1|^2=4 is a

    Text Solution

    |

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

    Text Solution

    |

  20. If z=x +iy is a complex number satisfying |z+i//2|^2=|z-i//2|^2 then ...

    Text Solution

    |