Home
Class 12
MATHS
Among the complex numbers, z satisfying ...

Among the complex numbers, `z` satisfying `|z+1-i| le 1`, the number having the least positive argument is :

A

`1-i`

B

`-1+i`

C

i

D

-i

Text Solution

Verified by Experts

The correct Answer is:
C
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 is any complex number satisfying |z-1|=1 , then which of the following correct?

If the complex number z=x+ iy satisfies the condition |z+1|=1 , then z lies on

If z is a complex number then

In the Argand diagram all the complex numbers z satisfying |z-4 i|+|z+4 i|=10 lie on a

All complex numers z, which satisfy the equation |(z-i)/(z+i)|=1 lie on the

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

All complex number z which satisfy the equation |(z-6 i)/(z+6 i)|=1 lie on the

The complex number z which satisfies the Equation |(i+z)/(i-z)|=1 lies on

The complex number z , which satisfies the condition |(1+z)/(1-z)|=1 lies on

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

HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
  1. The real part of log log i is

    Text Solution

    |

  2. ((-1+i sqrt(3))/(2))^(50)+((-1-i sqrt(3))/(2))^(50)=

    Text Solution

    |

  3. Among the complex numbers, z satisfying |z+1-i| le 1, the number havin...

    Text Solution

    |

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

    Text Solution

    |

  5. If z(1)=sqrt(3)-i, z(2)=1+i sqrt(3), then amp(z(1)+z(2))=

    Text Solution

    |

  6. If x(r)=cos. (pi)/(2^(r))+ isin. (pi)/(2^(r)), then x(1)x(2)x(3)....oo...

    Text Solution

    |

  7. The product of the values of (cos ((pi)/(3))+i sin( (pi)/(3)))^(3 / 4)...

    Text Solution

    |

  8. The inequality |z-4|lt|z-2| represents the region given by

    Text Solution

    |

  9. If z=x+i y is a variable complex number such that arg ((z-1)/(z+1))=(p...

    Text Solution

    |

  10. If |z+4| le 3, then the maximum value of |z+1| is

    Text Solution

    |

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

    Text Solution

    |

  12. If |z-(4)/(z)|=2 then the maximum value of |z| is

    Text Solution

    |

  13. If alpha and beta are the root of the equation x^(2)-x+1=0 then alpha...

    Text Solution

    |

  14. The number of complex numbers z such that |z-1|=|z+1|=|z-i| equals

    Text Solution

    |

  15. If (omega ne 1) is a cube root of unity and (1+omega)^(7)=A+Bomega. Th...

    Text Solution

    |

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

    Text Solution

    |

  17. Points z in the complex plane satisfying Re(z+1)^(2)=|z|^(2)+1 lies on

    Text Solution

    |

  18. Let omega be the complex number cos (2 pi)/(3)+i sin (2 pi)/(3) . Then...

    Text Solution

    |

  19. If |w|=1, then the set of points z=w+(1)/(w) is contained in or equal ...

    Text Solution

    |

  20. i^(2)+i^(4)+i^(6)+ldots . .(2 n+1) terms =

    Text Solution

    |