Home
Class 12
MATHS
The complex plane of z=x+iy, which satis...

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

A

the x -axis

B

line y=5

C

a circle through the origin

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
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

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

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

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 condition |(1+z)/(1-z)|=1 lies on

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

The equation |z+1-i|=|z-1+i| represents a

The locus of z , which satisfies the inequality log_(0.3)|z-1| gt log_(0.3)|z-i| is given by :

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

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

If z=x+iy , then the equation |z+1|=|z-1| represents

HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
  1. If |z+4| le 3, then the maximum value of |z+1| is

    Text Solution

    |

  2. The values of x and y which satisfy the equation ((1+i) x-2 i)/(3+i)...

    Text Solution

    |

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

    Text Solution

    |

  4. If z=((sqrt(3))/(2)+(i)/(2))^(5)+((sqrt(3))/(2)-(i)/(2))^(5), then:

    Text Solution

    |

  5. The points z(1),z(2),z(3),z(4) in complex plane are the vertices of a ...

    Text Solution

    |

  6. If z=x+iy and w=(1-iz)/(1+iz) , then |w|=1 implies that, in the comple...

    Text Solution

    |

  7. If z(1),z(2),z(3) represent the vertices of an equilateral triangle su...

    Text Solution

    |

  8. If z(1), z(2), z(3) are three complex numbers in A.P., then they lie o...

    Text Solution

    |

  9. If z(1) and z(2) are two non-zero complex numbers such that |z(1)+z(2)...

    Text Solution

    |

  10. sin x+i cos 2 x and cos x-i sin 2 x are conjugate to each other for,

    Text Solution

    |

  11. If 1, omega, omega^(2) are the three cube roots of unity and alpha, be...

    Text Solution

    |

  12. The complex number (1+2i)/(1-i) lies in

    Text Solution

    |

  13. If z ne 0 and Re z=0 then

    Text Solution

    |

  14. If z ne 0 and arg z=(pi)/(4), then

    Text Solution

    |

  15. If z(1)=8+4 i, z(2)=6+4 i and arg ((z-z(1))/(z-z(2)))=(pi)/(4) then z ...

    Text Solution

    |

  16. For positive integers n(1) and n(2) the value of the expression (1+i...

    Text Solution

    |

  17. If |{:(6i,-3i,1),(4,-3i,-1),(20,3,i):}|=x+iy, then :

    Text Solution

    |

  18. The value of the sum sum(n=1) ^(13) (i^(n)+i^(n+1)), where i = sqrt( -...

    Text Solution

    |

  19. If omega is an imaginary cube root of unity than (1+omega-omega^(2))^(...

    Text Solution

    |

  20. 4+5(-(1)/(2)+(i sqrt(3))/(2))^(334)+3(-(1)/(2)+(i sqrt(3))/(2))^(365)=

    Text Solution

    |