Home
Class 12
MATHS
The complex numbers z=x+iy which satisfy...

The complex numbers `z=x+iy` which satisfy the equation `|(z-5i)/(z+5i)|=1` lie on (a) The x-axis (b) The straight line `y=5` (c) A circle passing through the origin (d) Non of these

A

the x-axis

B

the straight line `y=5`

C

a circle passing through the origin

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBER

    FIITJEE|Exercise EXERCISE 1|3 Videos

  • COMPLEX NUMBER

    FIITJEE|Exercise EXERCISE 2|3 Videos

  • COMPLEX NUMBER

    FIITJEE|Exercise SOLVED PROBLEMS (SUBJECTIVE)|20 Videos

  • CIRCLE

    FIITJEE|Exercise Numerical Based|2 Videos

  • DEFINITE INTEGRAL

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

The complex number z satisfying the equation |z-i|=|z+1|=1

The complex number z which satisfy the equations |z|=1 and |(z-sqrt(2)(1+i))/(z)|=1 is: (where i=sqrt(-1) )

The number of complex number z satisfying the equations |z|-4=|z-i|-|z+5i|=0 is

Find the complex number z such that it satisfies the equation, 2barz+3+5i=iz

All complex numbers 'z' which satisfy the relation |z-|z+1||=|z+|z-1|| on the complex plane lie on the

Find the complex number z satisfying the equations |(z-12)/(z-8i)|=(5)/(3),|(z-4)/(z-8)|=1

If complex number z=x +iy satisfies the equation Re (z+1) = |z-1| , then prove that z lies on y^(2) = 4x .

If z=x+iy, then the equation |(2z-i)/(z+1)|=k will be a straight line,where -

FIITJEE-COMPLEX NUMBER-SOLVED PROBLEMS (OBJECTIVE)
  1. If the imaginery part of (z-3)/(e^(itheta))+(e^(itheta))/(z-3) is zero...

    Text Solution

    |

  2. The distance of the roots of the equation tan theta(0) z^(n) + tan the...

    Text Solution

    |

  3. The complex numbers z=x+iy which satisfy the equation |(z-5i)/(z+5i)|=...

    Text Solution

    |

  4. The inequality |z-4| lt |z-2| represents

    Text Solution

    |

  5. If the equation |z-z1|^2 + |z-z2|^2 =k, represents the equation of a c...

    Text Solution

    |

  6. If |z|= "min" {|z-1|, |z+1|}, then

    Text Solution

    |

  7. The range of m for which the line z(1-mi) - bar(z) (1+mi)=0 divides tw...

    Text Solution

    |

  8. Let P(k)(k=1,2,…n) be the nth root of unity. Let z =a +ib and A(k) = R...

    Text Solution

    |

  9. A complex number z is rotated in anticlockwise direction by an angle ...

    Text Solution

    |

  10. one vertex of the triangle of maximum area that can be inscribed in th...

    Text Solution

    |

  11. Let 'z' be a complex number and 'a' be a real parameter such that z^2+...

    Text Solution

    |

  12. Roots of the equation x^n - 1 = 0, n in I

    Text Solution

    |

  13. Let z(1) and z(2) be complex numbers such that z(1)^(2)-4z(2)=16+20i a...

    Text Solution

    |

  14. Let z(1) and z(2) be complex numbers such that z(1)^(2)-4z(2)=16+20i a...

    Text Solution

    |

  15. Let z1 and z2 be complex numbers such that z(1)^(2) - 4z(2) = 16+20i a...

    Text Solution

    |

  16. The locus of any point P(z) on argand plane is arg((z-5i)/(z+5i))=(pi)...

    Text Solution

    |

  17. The locus of any point P (z) on argand plane is "arg" ((z+5i)/(z-5i))=...

    Text Solution

    |

  18. If |z- z1|^2 + |z-z-2|^2 = |z1 - z2|^2 represents a conic C, then for...

    Text Solution

    |

  19. Let a be the real number, Real part of (19+7i)/(9-i) + (20+5i)/(7+6i) ...

    Text Solution

    |

  20. Let A = (cos alpha, sin alpha), B = (cos beta , sin beta), C = (cos g...

    Text Solution

    |