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^(2) lt 4a`

B

`x^(2) + y^(2) gt 4a^(2)`

C

`3x^(2) - 4y^(2) lt 4a^(2)`

D

`3x^(2) + 4y^(2) lt 12a^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise EXERCISE -II|126 Videos
  • CIRCLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|164 Videos
  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise Exercise (Level-2)|38 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

AAKASH SERIES-COMPLEX NUMBERS-PRACTICE EXERCISE
  1. If |z + barz| + |z - barz| , then the locus of z is

    Text Solution

    |

  2. If |z + 4| + |z - 4| = 10 represents an ellipse then length of its min...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. For any two complex numbers z(1) & z(2) and any two real numbers a , b...

    Text Solution

    |

  6. sqrt(-5+12i)=

    Text Solution

    |

  7. sqrti =

    Text Solution

    |

  8. The value of sqrt(x^(2) + 2ix- 1) is

    Text Solution

    |

  9. If n is an integer and not a multiple of 3 then omega^(n) + omega^(2n...

    Text Solution

    |

  10. (3 + 5 omega + 3omega^(2))^(6) =

    Text Solution

    |

  11. (1+omega)(1+omega^(2))(1+omega^(5))..........2n factors =

    Text Solution

    |

  12. (1- omega + omega^(2))^(7) + (1 + omega - omega^(2))^(7) =

    Text Solution

    |

  13. (1-omega+omega^(2))(1-omega^(2)+omega^(4))(1-omega^(4)+omega^(8))(1-om...

    Text Solution

    |

  14. If 1 , omega , omega^(2) are the cube roots of unity , then find the ...

    Text Solution

    |

  15. If 1 , omega , omega^(2) are the cube roots of unity , then the root...

    Text Solution

    |

  16. If 1 , omega , omega^(2) are the cube roots of unity, then prove that ...

    Text Solution

    |

  17. The value of ((- 1 + isqrt3)/(2))^(100) + ((- 1 - isqrt3)/(2))^(100) i...

    Text Solution

    |

  18. If x = a + b , y = a omega^(2) +b omega and z = a omega + b omega^(2) ...

    Text Solution

    |

  19. If alpha , beta are the imaginary cube roots of unity then alpha^(4) +...

    Text Solution

    |

  20. If 1 , omega , omega^(2) are the cube roots of unity , then (a+ b)^(3...

    Text Solution

    |