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| = 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 NUMBERS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES LEVEL 2|1 Videos
  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES LEVEL 3|1 Videos
  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPER|17 Videos
  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|17 Videos
  • DEFINITE INTEGRALS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|18 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

MCGROW HILL PUBLICATION-COMPLEX NUMBERS -SOLVED EXAMPLES LEVEL 1
  1. If 1, omega, ......,omega^(n-1) are the n^(th) roots of unity,then va...

    Text Solution

    |

  2. If omega = "cos"(pi)/(n) + "i sin" (pi)/(n), then value of 1 + omega +...

    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. The locus of the center of a circle which touches the circles |z-z1|=a...

    Text Solution

    |

  5. If |z^2-1|=|z|^2+1, then z lies on (a) a circle (b) the imaginar...

    Text Solution

    |

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

    Text Solution

    |

  7. If |z""+""4|lt=3 , then the maximum value of |z""+""1| is (1) 4...

    Text Solution

    |

  8. Let z,w be complex numbers such that barz+ibarw=0 and arg zw=pi Then a...

    Text Solution

    |

  9. If z(1) + z(2) + z(3) = 0 and |z(1)| = |z(2)| = |z(3)| = 1, then value...

    Text Solution

    |

  10. If z satisfies the relation |z-i|z||=|z+i|z|| then

    Text Solution

    |

  11. If alphaand betaare different complex numbers with |beta|=1,then fin...

    Text Solution

    |

  12. Let z be not a real number such that (1+z+z^2)//(1-z+z^2) in R , then...

    Text Solution

    |

  13. If |z-4/z| = 2 , then the maximum value of |z|

    Text Solution

    |

  14. If |omega|=2, then the set of points z=omega-1/omega is contained in o...

    Text Solution

    |

  15. If |z| = 1, z ne 1, then value of arg ((1)/(1-z)) cannot exceed

    Text Solution

    |

  16. If z ne 1 and (z^(2))/(z-1) is real, the point represented by the comp...

    Text Solution

    |

  17. If 3^(49)(x+i y)=(3/2+(sqrt(3))/2I)^(100) and x=k y then k is: -1//3 b...

    Text Solution

    |

  18. If (4+i)(z+bar(z))-(3+i)(z-bar(z))+26i = 0, then the value of |z|^(2) ...

    Text Solution

    |

  19. Let z = a("cos"(pi)/(5) + "i sin" (pi)/(5)),a in R, |a| lt 1, then S =...

    Text Solution

    |

  20. If z = sqrt(20i - 21) + sqrt(20i + 21), than one of the possible value...

    Text Solution

    |