Home
Class 11
MATHS
z^2+zabsz+absz^2=0 then the locus of z i...

`z^2+zabsz+absz^2=0` then the locus of z is

A

a circle

B

a straight line

C

a pair of staright line

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    PATHFINDER|Exercise QUESTION BANK|198 Videos

  • COMPLEX NUMBERS

    PATHFINDER|Exercise QUESTION BANK|67 Videos

Similar Questions

Explore conceptually related problems

If z be any complex number such that abs(3z-2)+abs(3z+2)=4 then locus of z is

Let z_1,z_2 be two fixed complex numbers in the Argand plane and z be an arbitary point satisfying abs(z-z_1)+abs(z-z_2)=2abs(z_1-z_2) then the locus of z will be

If abs(z+barz)=abs(z-barz) , then the locus of z is

If z(Re z ne2) be a complex number such that z^2-4z=absz^2+16/absz^3 then the value of absz^4 is

If z=(lambda+3)+isqrt(5-lambda^2) then the locus of Z is

A point P which represents a complex number z, moves such that |z-z_(1)|= |z-z_(2)|, then the locus of P is-

If abs(z-2-i)=abszabssin(pi/4-argz) then locus of z is

if amp (z-1)/(z+1)=pi/3 , then the locus of z is

If z is complex number, then the locus of z satisfying the condition |2z-1|=|z-1| is (a)perpendicular bisector of line segment joining 1/2 and 1 (b)circle (c)parabola (d)none of the above curves

If iz^3+z^2-z+i=0 then the value of abs(z) is

PATHFINDER-COMPLEX NUMBER-QUESTION BANK
  1. Let 0lealphalepi/2 be a fixed angle.if p=(costheta,sintheta) and Q=(co...

    Text Solution

    |

  2. A man walks a distance of 3 units from the origin towards the north ea...

    Text Solution

    |

  3. z^2+zabsz+absz^2=0 then the locus of z is

    Text Solution

    |

  4. The polynomial x^6+4x^5+3x^4+2x^3+x+1 is divisible by

    Text Solution

    |

  5. If z1,z2,z3 are three complex numbers and A= abs[[argz1,argz2,argz3],...

    Text Solution

    |

  6. If abs(z-i)le2 and z0=5+3i then the maximum value of abs(absiz+z0) is

    Text Solution

    |

  7. If z(Re z ne2) be a complex number such that z^2-4z=absz^2+16/absz^3 t...

    Text Solution

    |

  8. Let z=x+iy be a complex number where x and y are integers then the are...

    Text Solution

    |

  9. If z and w are two nonzero complex numbers such the abs(zw)=1 and arg...

    Text Solution

    |

  10. if log(1/2)(( absz^2+2absz+4)/(2absz^2+1))lt0 then the region traced b...

    Text Solution

    |

  11. If abs(z-2-i)=abszabssin(pi/4-argz) then locus of z is

    Text Solution

    |

  12. If z=3/(2+costheta+isintheta) then show that z lies on a circle in the...

    Text Solution

    |

  13. If z=iloge(2-sqrt3) then the value of cosz

    Text Solution

    |

  14. If alpha is the nth root of unity then 1+2alpha+3alpha^2+….to n terms ...

    Text Solution

    |

  15. If a=cosalpha+isinalpha , b=cosbeta+isinbeta , c=cosgamma+isingamma an...

    Text Solution

    |

  16. If alpha=cos((8pi)/11+isin((8pi)/11 then Re(alpha+alpha^2+alpha^3+alph...

    Text Solution

    |

  17. If z be any complex number such that abs(3z-2)+abs(3z+2)=4 then locus ...

    Text Solution

    |

  18. x^(3m)+x^(3n-1)+x^(3r-2) where m,n,r in N is divisible by

    Text Solution

    |

  19. A fourth root of -1 is

    Text Solution

    |

  20. If z1=a+ib and z2=c+id are complex numbers such that abs(z1)=abs(z2)=1...

    Text Solution

    |