Home
Class 12
MATHS
If |z|=1 and z ne pm 1, then all the val...

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

A

a line not passing through the origin

B

`|z|=sqrt(2)`

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

  • 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+4| le 3 , then the maximum value of |z+1| is

If z is a complex number such that |z|=1, z ne 1 , then the real part of |(z-1)/(z+1)| is

If z=-1 , the principal value of arg. (z^(2//3)) is equal to :

If |z|ge3, then determine the least value of |z+(1)/(z)| .

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

If z=(-2)/(1+sqrt(3) i) , then the value of arg z is

If z^(2)+z+1=0 , where z is a complex number, then the value of (z+(1)/(z))^(2)+(z^(2)+(1)/(z^(2)))^(2)+(z^(3)+(1)/(z^(3)))^(2)+....+(z^(6)+(1)/(z^(6)))^(2) is

If z=1+i then the multiplicative inverse of z^(2) is

If z ne 0 and Re z=0 then

If z is a complex number such that |z| ge 2 , then the minimum value of |z+(1)/(2)| .

HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
  1. If z is a complex number such that |z|=1, z ne 1, then the real part o...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. The value of ((1+i sqrt(3))/(1-i sqrt(3)))^(6)+((1-i sqrt(3))/(1+i sqr...

    Text Solution

    |

  5. If alpha+ibeta=tan^(-1)z, z=x+iy and alpha is constant, then locus of ...

    Text Solution

    |

  6. The value of (i)^(i) is

    Text Solution

    |

  7. In the Argand diagram all the complex numbers z satisfying |z-4 i|+|z+...

    Text Solution

    |

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

    Text Solution

    |

  9. If z is any complex number satisfying |z-1|=1, then which of the follo...

    Text Solution

    |

  10. If the amplitude of z-2-3 i is (pi)/(4), then the locus of z=x+i y is

    Text Solution

    |

  11. If omega is a non real cube root of unity then (a+b)(a+b omega)(a+b om...

    Text Solution

    |

  12. If sqrt(a+i b)=x+i y, then a possible value of sqrt(a-i b) is

    Text Solution

    |

  13. If i^(2)=-1 then i+i^(2)+i^(3)+…..... . upto 1000 terms is equal to

    Text Solution

    |

  14. If omega is a complex cube root of unity then the value of (p++q omega...

    Text Solution

    |

  15. If alpha, beta and gamma are angles such that tan alpha+tan beta+tan g...

    Text Solution

    |

  16. The polar form of the complex number (i^(25))^(3) is

    Text Solution

    |

  17. For what value of x and y, the complex numbers. 9 y^(2)-4-10 x i and ...

    Text Solution

    |

  18. The point represented by the complex number 2-i is rotated about origi...

    Text Solution

    |

  19. The locus of the point z satisfying arg ((z-1)/(z+1))=k, (where k is n...

    Text Solution

    |

  20. Let omega is an imaginary cube root of unity then the value of 2(1+o...

    Text Solution

    |