Home
Class 12
MATHS
The locus of z satisfying the inequality...

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

A

`x^2+y^2gt1`

B

`x^2-y^2lt1`

C

`x^2-y^2gt1`

D

`2x^2+3y^2lt1`

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 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 the inequality log_(1//3)|z+1|gtlog_(1//3)|z-1|

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

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

DIPTI PUBLICATION ( AP EAMET)-COMPLEX NUMBERS -EXERCISE 1
  1. The region represented by |z+a|+|z-a| lt4a is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. If z is a complex number such that |z|ge2 ,then the minimum value of |...

    Text Solution

    |

  9. The number of complex number z such |z-1|=|z+1|=|z-i| equals

    Text Solution

    |

  10. The number of solutions for z^3+barz=0 is

    Text Solution

    |

  11. The triangle formed by the points 1, (1+i)/(sqrt(2)) and i as vertice ...

    Text Solution

    |

  12. If z1=1+2i,z2=2+3i,z3=3+4i, " then " z1,z2and z3 represents the vertic...

    Text Solution

    |

  13. In the Argrand plane, the points represented by the complex numbers 1+...

    Text Solution

    |

  14. In the Argrand plane, the points represented by the complex numbers 2-...

    Text Solution

    |

  15. Are of the triangle formed by the three complex numbers, 1+i,1-i,2i in...

    Text Solution

    |

  16. Area of the triangle formed by the Argrand diagram formed by the compl...

    Text Solution

    |

  17. If |z|=3 , then area of the triangle whose sides are z , omegaz and z ...

    Text Solution

    |

  18. If the area of the triangle on the complex plane formed the points z ,...

    Text Solution

    |

  19. If a and b are real number between 0 and 1 such that the points z1=a+I...

    Text Solution

    |

  20. Let z(1) , z(2) be two roots of the equation z^(2) + az + b = 0 , z be...

    Text Solution

    |