Home
Class 12
MATHS
In the Argand Diagram , all the complex ...

In the Argand Diagram , all the complex numbers z satisfying `|z - 4i| + |z+ 4i| = 10` lie on a

A

straight line

B

circle

C

ellipse

D

parabola

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|93 Videos

  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise EXERCISE - I|49 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

In the Argand Diagrams , all the complex number z satisfying |z-4i|+|z+4i|=0 lie on a

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

The complex equation |z + 1- i| = |z + i-1| represents a

If z is a complex number satisfying z^(4) + z^(3) + 2z^(2) + z + 1 = 0 then |z| is equal to

If z is a complex number satisfying the relation |z+1| = z + 2 (1 +i) , then z is

The points representing the complex numbers z for which |z+4|^2-|z-4|^2 = 8 lie on

The complex number z = x + iy which satisfy the equation |(z-5i)/(z+5i)|=1 lie on

For all complex numbers z_(1) , z_(1) satisfying |z_(1)| = 12 and |z_(2) - 3 - 4i| = 5 , the minimum value of |z_(1) - z_(2)| is

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

AAKASH SERIES-COMPLEX NUMBERS-EXERCISE -II
  1. The locus represented by |z-1|=|z+i| is

    Text Solution

    |

  2. Let z = 1 - t + isqrt(t^(2) + t + 2) , where t is a real parameter . T...

    Text Solution

    |

  3. In the Argand Diagram , all the complex numbers z satisfying |z - 4i| ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. If the imaginary part of (2z + 1)/(iz+ 1) is -2 , then the locus of th...

    Text Solution

    |

  8. z = x + iy and w = (1 - iz)/(z-i) , then |w| = 1 implies in the comple...

    Text Solution

    |

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

    Text Solution

    |

  10. If Arg ((2 - z)/(2 + z)) = (pi)/(6) and z = x + iy , then the locus of...

    Text Solution

    |

  11. If omega=z/(z-1/3i) and |omega|=1 then z lies on

    Text Solution

    |

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

    Text Solution

    |

  13. Statement - I : If n = 4m + 3 , is integer then i^(n) is equal to -i ...

    Text Solution

    |

  14. The complex equation |z + 1- i| = |z + i-1| represents a

    Text Solution

    |

  15. If z(1) = 1 , z(2) = i and A = Arg (z(1) z(2)) B = Arg ((z(1))/(z(2)...

    Text Solution

    |

  16. The descending order of the principal values of arguments of the compl...

    Text Solution

    |

  17. If x(n) + iy(n) = (1 + i)^(n) then x(n - 1) y(n) - x(n) y(n- 1) =

    Text Solution

    |

  18. If x=-5+4i then x^4+9x^3+35x^2-x+4=

    Text Solution

    |

  19. If x is a fifth root of unity then 1 + x + x^(2) + …x^(100)

    Text Solution

    |

  20. If omega = sqrt(z^(2) - 1) where omega is a cube root of unity and z =...

    Text Solution

    |