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

Straight line x=a

D

The straight line y=a

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise Assignment (Section -C) (objective Type Questions ( more thena one options are correct )|35 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise Assignment (Section -D) Linked comprehension Type Questions|13 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise Assignment (Section -A) (objective Type Questions ( one option is correct)|47 Videos

  • BINOMIAL THEOREM

    AAKASH INSTITUTE|Exercise Assignment (section-J) Objective type question (Aakash Challengers Questions)|4 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION - J ( Aakash Challengers Questions )|14 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 ____________

AAKASH INSTITUTE-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-Assignment (Section -B) (objective Type Questions ( one option is correct)
  1. The value of (x+omega+omega^(2)) (x +omega^(2)+omega^(4))(x +omega^(...

    Text Solution

    |

  2. If z= (sqrt3-i)/2 , " then " (i^(101)+z^(101))^(103) erqual

    Text Solution

    |

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

    Text Solution

    |

  4. If the imaginary part of (2z+1)/(i z+1) is -2 , then show that the loc...

    Text Solution

    |

  5. In z is a complex number stisfying |2008z-1|= 2008|z-2|, then locus z ...

    Text Solution

    |

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

    Text Solution

    |

  7. the locus of z=i+2exp(i(theta+pi/4)) is

    Text Solution

    |

  8. If one vertex and centre of a square are z and origin then which of th...

    Text Solution

    |

  9. if the complex no z1 , z2 and z3 represents the vertices of an equ...

    Text Solution

    |

  10. If |z-2-3i|+|z+2-6i|=4 where i=sqrt(-1) then find the locus of P(z)

    Text Solution

    |

  11. If z(1),z(2),z(3) and u,v,w are complex numbers represending the verti...

    Text Solution

    |

  12. If |z-25i| lt= 15. then |"maximum " arg(z) - "minimum " arg(z)| equals

    Text Solution

    |

  13. For two complex numbers z(1) and z(2) , we have |(z(1)-z(2))/(1-barz(1...

    Text Solution

    |

  14. Let alpha, and beta are the roots of the equation x^(2)+x +1 =0 then

    Text Solution

    |

  15. If the ratio of the roots of the equation lx^2+nx+n=0 is p:q prove tha...

    Text Solution

    |

  16. For the equation |x^(2)| + |x| -6=0, the roots are

    Text Solution

    |

  17. If a+b+c=0 and a,b,c are ratiional. Prove that the roots of the equati...

    Text Solution

    |

  18. If secalpha, tanalpha are roots of ax^2 + bx + c = 0, then

    Text Solution

    |

  19. If x is real then the values of (x^(2) + 34 x - 71)/(x^(2) + 2x - 7) d...

    Text Solution

    |

  20. if alpha&betaare the roots of the quadratic equation ax^2 + bx + c = 0...

    Text Solution

    |