Home
Class 14
MATHS
The locus of the points z which satisfy ...

The locus of the points z which satisfy the condition `arg ((z-1)/(z+1)) = ( pi )/( 3)`, is

A

A straight line

B

a circle

C

A parabola

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBER

    PUNEET DOGRA|Exercise PREVIOUS YEAR QUESTIONS|87 Videos

  • CIRCLE

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS |21 Videos

  • CONIC SECTION

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS |37 Videos

Similar Questions

Explore conceptually related problems

The locus of the points z satisfying the condition arg ((z-1)/(z+1))=pi/3 is, a

The locus of a point z in complex plane satisfying the condition arg((z-2)/(z+2))=(pi)/(2) is

The complex number z satisfying the condition arg{(z-1)/(z+1)}=(pi)/(4) lies on

For a non-zero complex number z , let arg(z) denote the principal argument with pi lt arg(z)leq pi Then, which of the following statement(s) is (are) FALSE? arg(-1,-i)=pi/4, where i=sqrt(-1) (b) The function f: R->(-pi, pi], defined by f(t)=arg(-1+it) for all t in R , is continuous at all points of RR , where i=sqrt(-1) (c) For any two non-zero complex numbers z_1 and z_2 , arg((z_1)/(z_2))-arg(z_1)+arg(z_2) is an integer multiple of 2pi (d) For any three given distinct complex numbers z_1 , z_2 and z_3 , the locus of the point z satisfying the condition arg(((z-z_1)(z_2-z_3))/((z-z_3)(z_2-z_1)))=pi , lies on a straight line

locus of the point z satisfying the equation |z-1|+|z-i|=2 is

The locus of the point z satisfying arg [( z - 1)/(z+1)] = k,where k is non zero is :

PUNEET DOGRA-COMPLEX NUMBER-PREVIOUS YEAR QUESTIONS
  1. The locus of the points z which satisfy the condition arg ((z-1)/(z+1)...

    Text Solution

    |

  2. What is the value of [(i+sqrt(3))/(2)]^(2019)+[(i-sqrt(3))/(2)]^(2019)...

    Text Solution

    |

  3. If alpha and beta are the roots f x^(2) + x+1 =0, then what is the val...

    Text Solution

    |

  4. If x=1+i, then what is the value of x^(6) + x^(4) + x^(2) + 1?

    Text Solution

    |

  5. Roots of the equation x^(2017) + x^(2018) +1=0 are

    Text Solution

    |

  6. What is the modulus of | (1+2i)/(1-(1-i)^(2))| ?

    Text Solution

    |

  7. What is the modulus of | (1+2i)/(1-(1-i)^(2))| ?

    Text Solution

    |

  8. What is the value of : ((-1+isqrt(3))/(2))^(3n) + (( -1-isqrt(3))/(2...

    Text Solution

    |

  9. Which one of the following is correct in respect of the cube roots of ...

    Text Solution

    |

  10. What is the principle argument of ( -1-i) where i = sqrt( - 1).

    Text Solution

    |

  11. Let alpha and beta be real number and z be a complex number. If z^(2) ...

    Text Solution

    |

  12. The number of non-zero integral solution of the equation | 1- 2i|^(x) ...

    Text Solution

    |

  13. If alpha and beta are different complex number of with | beta | = 1, t...

    Text Solution

    |

  14. What is i^(1000) + i^(1001) + i^(1002)+i^(1003) is equal to ( where i ...

    Text Solution

    |

  15. The modulus-argument form of sqrt( 3) + i, where i = sqrt( -1) is

    Text Solution

    |

  16. What is the value of the sum sum(n=2)^(11) ( i^(n) + i^(n+1)), where i...

    Text Solution

    |

  17. The smallest positive integer n for which ((1+i)/( 1-i))^(n) =1, is :

    Text Solution

    |

  18. If | z - ( 4)/( z)| =2, then the maximum value o f |z| is equal to :

    Text Solution

    |

  19. The value of i^(2n) + i^(2n+1) + i^(2n+2) + i^(2n+3), where i = sqrt( ...

    Text Solution

    |

  20. The value of ((-1+isqrt( 3))/(2))^(n) + (( -1-isqrt(3))/(2))^(n) where...

    Text Solution

    |

  21. If 1, omega, omega^(2) are the cube roots of unity, then ( 1+ omega) (...

    Text Solution

    |