Home
Class 12
MATHS
The region of the complex plane for whic...

The region of the complex plane for which `|(z-a)/(z+veca)|=1,(Re(a) != 0)` is

A

x - axis

B

y - axis

C

the straight lien x = |a|

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    ML KHANNA|Exercise Problem Set (3) (M.C.Q) Inequalities:|27 Videos
  • COMPLEX NUMBERS

    ML KHANNA|Exercise Problem Set (3) Fill in the blanks |5 Videos
  • COMPLEX NUMBERS

    ML KHANNA|Exercise Problem Set (3) (M.C.Q) |42 Videos
  • CO-ORDINATE GEOMETRY OF THREE DIMENSION

    ML KHANNA|Exercise SELF ASSIGNMENT TEST |11 Videos
  • CONCEPTS OF SET THEORY

    ML KHANNA|Exercise Self Assessment Test|13 Videos

Similar Questions

Explore conceptually related problems

The region of the complex plane for which |(z-a)/(z+vec a)|=1,(Re(a)!=0) is

If a point P denoting the complex number z moves on the complex plane such that,|Re(z)|+|Im(z)|=1 then locus of P is

If a point P denoting the complex number z moves on the complex plane such that |RE(z)|+|IM(z)|=1 then locus of P is

Consider the region S of complex numbers a such that |z^(2) - az + 1|=1 , where |z|=1 . Then area of S in the Argand plane is

If a point P denoting the complex number z moves on the complex plane such tha "Re"(z^(2))="Re"(z+bar(z)) , then the locus of P (z) is

Points z in the complex plane satisfying "Re"(z+1)^(2)=|z|^(2)+1 lie on

The conjugate of a complex number z is (2)/(1-i) . Then Re(z) equals

A(z_(1)) and B(z_(2)) are two given points in the complex plane. The locus of a point P(z) in the complex plane satisfying |z-z_(1)|-|z-z_(2)| ='|z1-z2 |, is

If conjugate of a complex number z is (2+5i)/(4-3i) , then |Re(z) + Im(z)| is equal to ____________

ML KHANNA-COMPLEX NUMBERS -Problem Set (3) (M.C.Q) Locus:
  1. If the imaginary part of (2z + 1)/(iz + 1) is -4, then the locus of th...

    Text Solution

    |

  2. If I m((z-1)/(e^(thetai))+(e^(thetai))/(z-1))=0 , then find the locus ...

    Text Solution

    |

  3. Locus of the point z satisfying the equation |iz-1|+|z-i|=2 is

    Text Solution

    |

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

    Text Solution

    |

  5. The locus of the points z satisfying the condition arg ((z-1)/(z+1))=p...

    Text Solution

    |

  6. z1, z2, z3,z4 are distinct complex numbers representing the vertices o...

    Text Solution

    |

  7. If 'z, lies on the circle |z-2i|=2sqrt2, then the value of arg((z...

    Text Solution

    |

  8. The region of the complex plane for which |(z-a)/(z+veca)|=1,(Re(a) !=...

    Text Solution

    |

  9. If "Re"((z-8i)/(z+6))=0, then lies on the curve

    Text Solution

    |

  10. The locus represented by |z-1|=|z+i| is:

    Text Solution

    |

  11. If | bar(z)| = 25 then the points representing the number - 1 + 75 b...

    Text Solution

    |

  12. If P is the affix of z in the Argand diagram and P moves so that (z -...

    Text Solution

    |

  13. If w=alpha+ibeta where Beta 0 and z ne 1 satisfies the condition that...

    Text Solution

    |

  14. If |ak|< 3, 1 le k le n, then all complex numbers z satisfying equatio...

    Text Solution

    |

  15. Prove that the distance of the roots of the equation |sintheta1|z^3+|s...

    Text Solution

    |

  16. If z^(2) + z | z| + | z|^(2) = 0 , then the locus of z is

    Text Solution

    |

  17. If alpha+ibeta=tan^(-1) (z), z=x+iy and alpha is constant, the locus o...

    Text Solution

    |