Home
Class 11
MATHS
If absz=1 and z ne+-1 then all the value...

If `absz=1` and `z ne+-1` then all the values of `z/(1-z^2)` lie on

A

a line not passing through the origin

B

`absz=sqrt2`

C

the x axis

D

the y axis

Text Solution

Verified by Experts

The correct Answer is:
D
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|=1 and z ne +-1 , then one of the possible value of arg(z)-arg(z+1)-arg(z-1) , is

If abs(z-2-2i)=1 , then the minimum value of absz is

For all complex niumbers z_1, z_2 satisfying absz_1=12 and abs(z_2-3-4i)=5 , the minimum value of abs(z_1-z_2) is

If z_1 and z_2 be two complex numbers such that abs(z_1+z_2)=abs(z_1) +abs(z_2) then the value of argz_1-argz_2 is equal to

If |z-3|=min{|z-1|,|z-5|}, then the values of Re(z) will be

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

If z_1 lies on absz=1 and z_2 lies on absz=2 then

If abs(z^2-1)=absz^2+1 , then z lies on

If z_1 and z_2 be two complex numbers such that abs((z_1-2z_2)/(2-z_1barz_2))=1 and abs(z_2) ne1 , what is the value of abs(z_1) ?

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

PATHFINDER-COMPLEX NUMBER-QUESTION BANK
  1. If omega is an imaginary x^n root of unit then underset(r=1)oversetnsu...

    Text Solution

    |

  2. If omega(ne1) be a cube root of unity and (1+omega^2)^n=(1+omega^4)^n ...

    Text Solution

    |

  3. If absz=1 and z ne+-1 then all the values of z/(1-z^2) lie on

    Text Solution

    |

  4. If (1+2i)/(2+i)=r(costheta+isintheta) then

    Text Solution

    |

  5. If z1=a+ib and z2=c+id are two complex numbers lying on the circle x^...

    Text Solution

    |

  6. Number of solution(s) of the equation absz^2+7z=0 is/are

    Text Solution

    |

  7. If z1=9y^2-4-10ix,z2=8y^2-20i where z1=barz2 then z=x+iy is equal to

    Text Solution

    |

  8. Let z1,z2,z3 be three points on absz=1 let theta1,theta2 and theta3 be...

    Text Solution

    |

  9. If z1,z2 are two non zero complex numbers such that z1/z2+z2/z1=1 then...

    Text Solution

    |

  10. The complex numbers z1,z2 and z3 satisfying (z1-z3)/(z2-z3)=(1-isqrt3)...

    Text Solution

    |

  11. Let A(z1),A2(barz1) are the adjacent vertices of a regular polygon if ...

    Text Solution

    |

  12. If the points A(z),B(-z),C(1-z) are the vertices of an equilateral tri...

    Text Solution

    |

  13. Let z1 nez2 are two points in the Argand plane if a abs(z1)=b abs(z2) ...

    Text Solution

    |

  14. The least positive integer n for which ((1+i)/(1-i))^n=2/pisin^(-1)((1...

    Text Solution

    |

  15. If x=2+5i then the value of the expression x^3-5x^2+33x-49 is

    Text Solution

    |

  16. The square root of (1+i) is

    Text Solution

    |

  17. The curve represented by Im(z^2)=c^2 is

    Text Solution

    |

  18. If z be a complex number satisfying z^4+z^3+2z^2+z+1=0 then absz is eq...

    Text Solution

    |

  19. If omega is complex cube root of unity then (3+5omega+3omega^2)^2+(3+3...

    Text Solution

    |

  20. Let 0lealphalepi/2 be a fixed angle.if p=(costheta,sintheta) and Q=(co...

    Text Solution

    |