Home
Class 12
MATHS
The equation |z+i|-|z-i|=k represents a ...

The equation `|z+i|-|z-i|=k` represents a hyperbola, if

A

`k in(-2,2)`

B

`k in[-2,2]`

C

` k in(0,2)`

D

`k in(-2,0)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • COMMON ENTRANCE TEST -2016

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos

  • COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|297 Videos

Similar Questions

Explore conceptually related problems

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

The inequality |z-4|lt|z-2| represents the region given by

In complex plane, the equation |z+barz|=|z-barz| represents:

If z=x+iy , then the equation |z+1|=|z-1| represents

If z is a complex number in the argand plane, then the equation |z-2|+|z+2|=8 represents

The equation x^(2) + y^(2) + z^(2) = 0 represents

Solve that equation z^2+|z|=0 , where z is a complex number.

In three dimensional space, the equation 3y + 4z = 0 represents :

The complex number z has argument, 0ltthetalt(pi)(2) and satisfy the equation |z-3 i|=3 . Then cot theta-(6)/(z)=

All complex number z which satisfy the equation |(z-6 i)/(z+6 i)|=1 lie on the

HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
  1. If alpha is an imaginary fifth root of unity then log (2)|1+alpha+alph...

    Text Solution

    |

  2. If |z+bar(z)|+|z-bar(z)|=8 then z lies on

    Text Solution

    |

  3. The equation |z+i|-|z-i|=k represents a hyperbola, if

    Text Solution

    |

  4. If |z|=k and w=(z-k)/(z+k), then Re (w)=

    Text Solution

    |

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

    Text Solution

    |

  6. If alpha is a non-real fifth root of unity, then 3^(|1+alpha+a^(2)+a^(...

    Text Solution

    |

  7. If alpha is a non-real fourth roots of unity, then the values of alpha...

    Text Solution

    |

  8. If x^(2)-x+1=0 then the value of sum(n=1)^(5)(x^(n)+(1)/(x^(n)))^(2) ...

    Text Solution

    |

  9. If arg (z)lttheta, then arg (-z)-arg (z)=

    Text Solution

    |

  10. If (sqrt(3)-i)^(n)=2^(n), n in Z, then n is a multiple of

    Text Solution

    |

  11. The least positive integer n for which (sqrt(3)+i)^(n)=(sqrt(3)-i)^(n)...

    Text Solution

    |

  12. If w is a complex cube roots of unity, then arg (i w)+arg (i w^(2))=

    Text Solution

    |

  13. If z(2-2 sqrt(3) i)^(2)=i(sqrt(3)+i)^(4) then arg z=

    Text Solution

    |

  14. If ((3)/(2)+(i sqrt(3))/(2))^(28)=3^(14)(x+i y) then (x, y)= (where x ...

    Text Solution

    |

  15. If 1, alpha(1), alpha(2), …., alpha(n-1) are the n^(text (th ) roots o...

    Text Solution

    |

  16. The argument of (1-i sqrt(3))/(1+i sqrt(3))=

    Text Solution

    |

  17. Let z(1) and z(2) be two complex numbers such that |z(1)+z(2)|^(2)=|z(...

    Text Solution

    |

  18. If z is purely imaginary then and Im(z)gt0, then amp(z)=

    Text Solution

    |

  19. If n is an odd integer, then (1+i)^(6 n)+(1-i)^(6 n) is equal to

    Text Solution

    |

  20. The amplitude of "sin"(pi)/(5)+i(1-"cos"(pi)/(5)) is

    Text Solution

    |