Home
Class 12
MATHS
If z=x +iy is a complex number satisfyin...

If `z=x +iy` is a complex number satisfying `|z+i//2|^2=|z-i//2|^2` then the locus of z is

A

x - aixs

B

y - axis

C

y = x

D

2y = x

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

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

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

If z = x + iy is a complex numbers z for which |z +i//2|^(2) = |z - i//2|^(2) then the locus of z is

If a complex number z satisfies the relation z^2+z^(-2)=2 , then the locus of z is

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

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

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

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

The complex number z satisfying z^(2) + |z| = 0 is

DIPTI PUBLICATION ( AP EAMET)-COMPLEX NUMBERS -EXERCISE 1
  1. The locus of z such that |z-1|^2+|z+1|^2=4 is a

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. If amp (z-i) =pi//3 then the locus of z is

    Text Solution

    |

  11. If amp (z-3) =pi//2 then the locus of z is

    Text Solution

    |

  12. If the amplitude of z - 2 - 3i " is " pi//4 , then the locus of z = x ...

    Text Solution

    |

  13. If Arg (3z-2i) = pi//2 then the locus of z = x +iy is

    Text Solution

    |

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

    Text Solution

    |

  15. The locus of the complex number z such that arg ((z-2)/(z+2))=pi/3 is ...

    Text Solution

    |

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

    Text Solution

    |

  17. The points in the set {zinC: Arg " ((z-2)/(Z-6i))=pi/2} lie on the cu...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |