Home
Class 12
MATHS
If |z+bar(z)|+|z-bar(z)|=8 then z lies o...

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

A

1.a circle

B

2.a straight line

C

3.a square

D

4.an ellipse

Text Solution

Verified by Experts

The correct Answer is:
C
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

If |z^(2)-1|=|z|^(2)+1 , then z lies on :

If w=(z)/(z-(1)/(3)i) and |w|=1 , then z lies on

If omega=(z)/(z-(i)(3)) and |omega|=1 , the z lies on

If the complex number z=x+ iy satisfies the condition |z+1|=1 , then z lies on

If |z_(1)+z_(2)|=|z_(1)-z_(2)| , then the difference of the arguments of z_(1) and z_(2) is

If |z_(1)|=|z_(2)|=…... .=|z_(n)|=1 then |z_(1)+z_(2)+ .+z_(n)|=

If |z-(4)/(z)|=2 then the maximum value of |z| is

If (3+i)(z+bar(z))-(2+i)(z-bar(z))+14i=0 , where i=sqrt(-1) , then z bar(z) is equal to

If |(z-2)/(z+2)|=(pi)/(6) , then the locus of z is

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

HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
  1. If z(1), z(2) are two complex numbers such that Im(z(1)+z(2))=0 and Im...

    Text Solution

    |

  2. If alpha is an imaginary fifth root of unity then log (2)|1+alpha+alph...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |