Home
Class 12
MATHS
The region represented by |z+a|+|z-a| lt...

The region represented by `|z+a|+|z-a| lt4a` is

A

`x^2+y^2lt4a^2`

B

`x^2+y^2gt4a^2`

C

`x^2-y^2lt4a^2`

D

none

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

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

If z = x + iy represents a point P in the argand plane, then the area of the region represented by the inequality 2 <|z-(1+i)|<3 is

The region of the argand plane defined by |z-i| + |z +i| le 4 is

The electric potential in a region is represented as, V = 2x + 3y - z obtain expression for electric field strenght.

The area (in sq units) of the triangle whose vertices are the points represented by the complex numbers 0, z , ze^(i alpha) ( 0 lt alpha lt pi) is

Let z_(1) and z_(2) be two non-zero complex numbers such that (z_(1))/(z_(2)) + (z_(2))/(z_(1)) = 1 , then the origin and points represented by z_(1) and z_(2)

If (z_(3)-z_(1))/(z_(2)-z_(1)) is a real number, show that the points represented by the complex numbers z_(1),z_(2),z_(3) are collinear.

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

DIPTI PUBLICATION ( AP EAMET)-COMPLEX NUMBERS -EXERCISE 1
  1. If alpha+ibeta=Tan^(-1)(z),z=x+iy and alpha is constant then the locus...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |