Home
Class 12
MATHS
All complex number z which satisfy the e...

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

A

imaginary axis

B

real axis

C

neither of the axes

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
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

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

The complex plane of z=x+iy , which satisfies the equation |(z-5i)/(z+5i)|=1 , lies on

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

If z_(1),z_(2) are two complex numbers satisfying the equation : |(z_(1)-z_(2))/(z_(1)+z_(2))|=1 , then (z_(1))/(z_(2)) is a number which is

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

If z is a complex number then

Let z be a complex number satisfying the equation z^(2)-(3+i)z+lambda+2i=0, whre lambdain R and suppose the equation has a real root , then find the non -real root.

The complex number z has argument, 0ltthetalt(pi)(2) and satisfy the equation |z-3 i|=3 . Then cot theta-(6)/(z)=

HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
  1. The maximum value of n lt 101 such that 1+sum(k=1)^(n)i^(k)=0 is

    Text Solution

    |

  2. The value of (-1+sqrt(3))^(62)+(-1-sqrt(-3))^(62) is

    Text Solution

    |

  3. All complex number z which satisfy the equation |(z-6 i)/(z+6 i)|=1 li...

    Text Solution

    |

  4. If z is a complex number with |z|=1 and z+(1)/(z)=x+iy, then xy=

    Text Solution

    |

  5. The real part of log log i is

    Text Solution

    |

  6. ((-1+i sqrt(3))/(2))^(50)+((-1-i sqrt(3))/(2))^(50)=

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |