Home
Class 12
MATHS
If w = z/(z-1/3i) and |w| =1, then z lie...

If `w = z/(z-1/3i)` and |w| =1, then z lies on

A

straight line

B

a parabola

C

an ellipse

D

a circle

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPER|17 Videos
  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise EXERCISE NUMERICAL ANSWER TYPE QUESTIONS|20 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 w=(z)/(z-(1)/(3)i) and |w|=1, then z lies on

If complex variables z,w are such that w=(2z-7i)/(z+i) and |w|=2, then z lies on:

If w=(z)/(z-((1)/(3))i) and |w|=1, then find the locus of z and |w|=1, then find the

If omega = z//[z-(1//3)i] and |omega| = 1 , then find the locus of z.

If z ne 0 lies on the circle |z-1| = 1 and omega = 5//z , then omega lies on

If z=x+iy and w=(1-iz)/(z-i), then |w|=1 implies that in the complex plane (A)z lies on imaginary axis (B) z lies on real axis (C)z lies on unit circle (D) None of these

If |z| le1 and |w| lt 1 , then shown that |z - w|^(2) lt (|z| - |w|)^(2)+ (arg z - arg w)^(2)

MCGROW HILL PUBLICATION-COMPLEX NUMBERS -QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
  1. If |z^2-1|=|z|^2+1, then z lies on (a) a circle (b) the imaginary ...

    Text Solution

    |

  2. If the cube roots of unity are 1,omega,omega^2, then the roots of the ...

    Text Solution

    |

  3. If w = z/(z-1/3i) and |w| =1, then z lies on

    Text Solution

    |

  4. If z1 and z2, are two non-zero complex numbers such that |z1+z2|=|z1|...

    Text Solution

    |

  5. sum(k=1)^10(sin(2kpi)/11+icos(2kpi)/11)

    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. The conjugate of a complex number is 1/(i-1) . Then the complex num...

    Text Solution

    |

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

    Text Solution

    |

  10. The number of complex numbers z such that |z-1|=|z+1|=|z-i| is

    Text Solution

    |

  11. If omega(ne 1) be a cube root of unity and (1+omega)^(7)=A+Bomega, the...

    Text Solution

    |

  12. Let alpha,beta be real and z be a complex number. If z^2+alphaz""+beta...

    Text Solution

    |

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

    Text Solution

    |

  14. The area of the triangle on the Arand plane formed by the complex numb...

    Text Solution

    |

  15. If z is a complex number of unit modulus of modulus and argument thet...

    Text Solution

    |

  16. if (5z2)/(7z1) is purely imaginary number then |(2z1+3z2)/(2z1-3z2) |...

    Text Solution

    |

  17. Let a = Im((1+z^(2))/(2iz)), where z is any non-zero complex number. T...

    Text Solution

    |

  18. If a complex number z satisfies z + sqrt(2) |z + 1| + i=0, then |z| is...

    Text Solution

    |

  19. If z is a complex number such that |z|>=2 then the minimum value of |z...

    Text Solution

    |

  20. Let w(Im w != 0) be a complex number. Then the set of all complex num...

    Text Solution

    |