Home
Class 12
MATHS
The locus of the point z = x + iy satisf...

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

A

x - axis

B

y - axis

C

y = 2

D

x = 2

Text Solution

Verified by Experts

The correct Answer is:
A
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

The locus of the point z = x +iy satisfying the equation |(z-1)/(z+1)|=1 is given n=by

The locus of z satisfying the inequality |(z+2i)/(2z+i)|lt1 where z = x + iy , is :

The complex number z = x + iy which satisfy the equation |(z-5i)/(z+5i)|=1 lie on

Show that the locus of z = x + iy such that the amplitude of (z -1)/(z+1) is equal to pi/4 . prove that x^2 + y^2 - 2y -1 =0

If the point ((k-1)/k,(k-2)/k) lies on the locus of z satisfying the inequality |(z+3i)/(3z+i)| lt 1 , then the interval in which k lies is

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

DIPTI PUBLICATION ( AP EAMET)-COMPLEX NUMBERS -EXERCISE 1
  1. If |(z-i)/(z+i)|=1 then the locus of z is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. The locus of the point representing the complex number z for which |z+...

    Text Solution

    |

  18. If a complex number |z ^2-1|=|z|^2+1 , then z lies on :

    Text Solution

    |

  19. If |z+barb|=|z-barz| , then the locus of z is

    Text Solution

    |

  20. If |z+barz|+|z-barz|=2 , then z lies on

    Text Solution

    |