Home
Class 12
MATHS
If Im ((z-1)/(z+1))=0 then the locus of ...

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

A

y = 0

B

y = 2

C

y = 3

D

y = 4

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

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

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

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

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

DIPTI PUBLICATION ( AP EAMET)-COMPLEX NUMBERS -EXERCISE 1
  1. The points in the set {zinC: Arg " ((z-2)/(Z-6i))=pi/2} lie on the cu...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. If zbarz=4 then the locus of z is

    Text Solution

    |

  7. If (z-i)/(z+1) is purely imaginary then the locus of z = x + iy is

    Text Solution

    |

  8. If (z+2)/(z+6i) is purely real then the locus of z = x +iy is

    Text Solution

    |

  9. It zne1 and z^2/(z-1) is real , then point represent by the complex n...

    Text Solution

    |

  10. A complex number z is said to be unimodular if |z|=1 , Suppose z1 and ...

    Text Solution

    |

  11. If z=(lamda+3)+isqrt(5-lamda^2) then the locus of z is a circle with ...

    Text Solution

    |

  12. If alpha+ibeta=Tan^(-1)(z),z=x+iy and alpha is constant then the locus...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. The region of the argand plane defined by |z-i| +|z+i|le4 is

    Text Solution

    |

  16. The locus of z satisfying the inequality |(z+2i)/(2z+i)|lt1 where z = ...

    Text Solution

    |

  17. The locus of z satisfying the inequality log(1//3)|z+1|gtlog(1//3)|z-...

    Text Solution

    |

  18. If log tan30^@((2|z|^2+2|z|-3)/(|z|+1))lt-2 , then

    Text Solution

    |

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

    Text Solution

    |

  20. If |z-4/z|=2 , then the maximum value |z| is equal to

    Text Solution

    |