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

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

A

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

B

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

C

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

D

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

Match the following {:(I.,"If |z-3+i|=4 then the locus of z is ","a)"x^2+y^2-6x+2y-6=0),(II.,"If |z-1|=2|z-3|then the locus of z is","b)"3x^2+3y^2-22x+35=0),(III.,"If |z-i|=|z+i|then the locus of z is","c)"y=0),(IV.,"If "|z-1|^2+|z+1|^2=4"then the locus of z is","d)"x^2+y^2=1):}

If |3z-2|=5 then the locus of z 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 a complex number z satisfies |z|^(2)+1=|z^(2)-1| , then the locus of z is

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

If |z-1| gt2|z-2| then the locus of z = x + iy is

If Re (z^2)=2 then the locus of z is

DIPTI PUBLICATION ( AP EAMET)-COMPLEX NUMBERS -EXERCISE 1
  1. If z(1) , z(2) are two complex numbers satisfying |(z(1) - 3z(2))/(3 -...

    Text Solution

    |

  2. If the point z = (1+i) (1+2i)(1+3i)…(1+10i) lies on a circle with cent...

    Text Solution

    |

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

    Text Solution

    |

  4. If |3z-2|=5 then the locus of z is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |