Home
Class 12
MATHS
If |z|=1a n dz!=+-1, then all the values...

If `|z|=1a n dz!=+-1,` then all the values of `z/(1-z^2)` lie on a line not passing through the origin `|z|=sqrt(2)` the x-axis (d) the y-axis

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

  • COMPLEX NUMBER

    MOTION|Exercise EXERCISE - 4 (LEVEL -I) PREVIOUS YEAR - JEE MAIN|12 Videos

  • CIRCLE

    MOTION|Exercise Exercise - 4 | Level - II (Previous Year | JEE Advanced|22 Videos

  • CONTINUITY

    MOTION|Exercise EXERCISE - 4 (LEVEL -II) (PREVIOUS YEAR JEE ADVANCED)|5 Videos

Similar Questions

Explore conceptually related problems

If |z|=1andz!=+-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

Equation of line passing through z1and z2

Find the equation of plane containing the line x+y-z=0=2x-y+z and passing through the point (1,2,1)

If z!=1 and (z^2)/(z-1) is real, then the point represented by the complex number z lies (1) either on the real axis or on a circle passing through the origin (2) on a circle with centre at the origin (3) either on the real axis or on a circle not passing through the origin (4) on the imaginary axis

If |z_(1)|=|z_(2)|=………….=|z-(n)|=1 , then the value of |z_(1)+z_(2)+………+z_(n)| , is

If |z^(2)-1|=|z|^(2)+1, then z lies on (a) a circle (b) the imaginary axis (c) the real axis (d) an ellipse

If |z^(2)-1|=|z|^(2)+1, then z lies on (a) a circle (b) the imaginary axis (c) the real axis (d) an ellipse

If |z^(2)-1|=|z|^(2)+1, then z lies on (a) a circle (b) the imaginary axis (c) the real axis (d) an ellipse

MOTION-COMPLEX NUMBER -EXERCISE - 4 (LEVEL -II) PREVIOUS YEAR - JEE ADVANCED
  1. If w=alpha+ibeta, where beta!=0 and z!=1 , satisfies the condition tha...

    Text Solution

    |

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

    Text Solution

    |

  3. If |z|=1a n dz!=+-1, then all the values of z/(1-z^2) lie on a line no...

    Text Solution

    |

  4. A particle P starts from the point z(0)=1+2i, where i=sqrt(-1). It mov...

    Text Solution

    |

  5. Let A ,B ,C be three sets of complex number as defined below A={z : I ...

    Text Solution

    |

  6. Let A,B,C be three sets of complex number as defined below A={z:lm ...

    Text Solution

    |

  7. Let A,B,C be three sets of complex number as defined below A={z:lm ...

    Text Solution

    |

  8. Let z=x+i y be a complex number where xa n dy are integers. Then, the ...

    Text Solution

    |

  9. Let z=costheta+isintheta. Then the value of sum(m->1-15)Img(z^(2m-1)) ...

    Text Solution

    |

  10. Q. Let p and q real number such that p!= 0,p^2!=q and p^2!=-q. if alph...

    Text Solution

    |

  11. Let omega be a complex cube root unity with omega!=1. A fair die is th...

    Text Solution

    |

  12. Let z(1) and z(2) be two distinct complex numbers and z=(1-t)z(1)+iz(2...

    Text Solution

    |

  13. Let omega be the complex number " cos " ( 2pi)/(3) + isin (2pi)/(3)...

    Text Solution

    |

  14. Match the statement in Column I with those in Column II. [Note : He...

    Text Solution

    |

  15. Let a, b and c be three real numbers satisfying [a" "b" "c][[1,9,7],[...

    Text Solution

    |

  16. Let omega be the solution of x^(3)-1=0 with "Im"(omega) gt 0. If a=2 w...

    Text Solution

    |

  17. Let a,b, and c be three real numbers satistying [a,b,c][(1,9,7),(8,2,7...

    Text Solution

    |

  18. If z is any complex number satisfying abs(z-3-2i) le 2, where i=sqrt(-...

    Text Solution

    |

  19. Let omega!=1 be cube root of unity and S be the set of all non-singula...

    Text Solution

    |

  20. Let omega= e^((ipi)/3) and a, b, c, x, y, z be non-zero complex numb...

    Text Solution

    |