Home
Class 12
MATHS
Let w(Im w != 0) be a complex number. T...

Let `w(Im w != 0)` be a complex number. Then the set of all complex numbers z satisfying the equal `w-barw z = k(1-z)` , for some real number k, is :

A

`{z : |z| = 1}`

B

`{z : z = bar(z)}`

C

`{z : z ne 1}`

D

`{z : |z| = 1, z ne 1}`

Text Solution

Verified by Experts

The correct Answer is:
D
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

Let w(Im w!=0) be a complex number.Then the set of all complex numbers z satisfying the equal w-bar(w)z=k(1-z), for some real number k,is :

Let z be a complex number satisfying |z+16|=4|z+1| . Then

Suppose two complex numbers z=a+ib , w=c+id satisfy the equation (z+w)/(z)=(w)/(z+w) . Then

Let w be the complex number cos(2pi)/3 + isin(2pi)/3 . Then the number of distinct complex numbers z satisfying |(z+1, w, w^2),(2, z+w^2, 1),(w^2, 1, z+w)|=0 is equal

Let omega be the complex number cos((2 pi)/(3))+i sin((2 pi)/(3))* Then the number of distinct complex cos numbers z satisfying Delta=det[[omega,z+omega^(2),1omega,z+omega^(2),1omega^(2),1,z+omega]]=0 is

Let z be a complex number satisfying z^(117)=1 then minimum value of |z-omega| (where omega is cube root of unity) is

Find number of values of complex numbers omega satisfying the system of equaltion z^(3)=-(bar(omega))^(7) and z^(5).omega^(11)=1

Find the number of values of complex numbers omega satisfying the system of equations z^(3)==(overlineomega)^(7) and z^(5).omega^(11)=1

MCGROW HILL PUBLICATION-COMPLEX NUMBERS -QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
  1. If a complex number z satisfies z + sqrt(2) |z + 1| + i=0, then |z| is...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. If z(1),z(2) and z(3),z(4) are two pairs of conjugate complex numbers ...

    Text Solution

    |

  5. Let z!=i be any complex number such that (z-i)/(z+i) is a purely imagi...

    Text Solution

    |

  6. For all complex numbers z of the form 1 + ialpha, alpha in "R if z"^(2...

    Text Solution

    |

  7. A complex number z is said to be uni-modular if |z|=1. Suppose z(1) a...

    Text Solution

    |

  8. The largest value of r for which the region represented by the set {om...

    Text Solution

    |

  9. If Z is a non-real complex number, then find the minimum value of (Imz...

    Text Solution

    |

  10. A value of for which (2+3isintheta)/(1-2isintheta) purely imaginary, ...

    Text Solution

    |

  11. The point represented by 2+i in the Argand plane moves 1 unit eastward...

    Text Solution

    |

  12. Let z=1+ai be a complex number, a > 0,such that z^3 is a real number....

    Text Solution

    |

  13. Let zinC, the set of complex numbers. Thenthe equation, 2|z +3i| - |z...

    Text Solution

    |

  14. The equation I m((i z-2)/(z-i))+1=0, z & epsi; C , z!=i represents a ...

    Text Solution

    |

  15. If alpha, beta in C are the distinct roots of the equation x^(2)-x+1=0...

    Text Solution

    |

  16. The set of all alpha in R for which w = (1+(1-8 alpha)z)/(1-z)is a pur...

    Text Solution

    |

  17. If |z - 3+ 2i| leq 4, (where i = sqrt-1) then the difference of grea...

    Text Solution

    |

  18. The least positive integer n for which ((1+sqrt(3)i)/(1-sqrt(3)i))^(n)...

    Text Solution

    |

  19. Let A={theta in (-pi /2,pi):(3+2i sin theta )/(1-2 sin theta ) is pure...

    Text Solution

    |

  20. Let Z0 is the root of equation x^2+x+1=0 and Z=3+6i(Z0)^(81)-3i(Z0)^(9...

    Text Solution

    |