Home
Class 12
MATHS
The locus of the points z satisfying the...

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

A

parabola

B

Statement-1 is true, statement -2 is true, Statement-2 is not a correct explanation for statement-1.

C

circle

D

pair of straight lne

Text Solution

Verified by Experts

The correct Answer is:
a
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|59 Videos

  • COMPLEX NUMBERS

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|15 Videos

  • CIRCLES

    OBJECTIVE RD SHARMA|Exercise Chapter Test|55 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    OBJECTIVE RD SHARMA|Exercise Exercise|86 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

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

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

OBJECTIVE RD SHARMA-COMPLEX NUMBERS -Exercise
  1. If the complex numbers z(1),z(2),z(3) are in AP, then they lie on

    Text Solution

    |

  2. The locus of complex number z for which ((z-1)/(z+1))=k , where k is n...

    Text Solution

    |

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

    Text Solution

    |

  4. If sqrt(x+i y)=+-(a+i b), then findsqrt(- x-i ydot)

    Text Solution

    |

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

    Text Solution

    |

  6. If (sqrt3 + i)^10 = a + i b, then a and b are respectively

    Text Solution

    |

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

    Text Solution

    |

  8. If z=(sqrt3/2+i/2)^5+(sqrt3/2-i/2)^5, then

    Text Solution

    |

  9. If z=x+iy and omega=(1-iz)/(z-i), then |omega|=1 implies that in the c...

    Text Solution

    |

  10. Let 3-i and 2+i be affixes of two points A and B in the Argand plane a...

    Text Solution

    |

  11. POQ is a straight line through the origin O,P and Q represent the comp...

    Text Solution

    |

  12. If z1=a + ib and z2 = c + id are complex numbers such that |z1|=|z2|=...

    Text Solution

    |

  13. Let z1a n dz2 be complex numbers such that z1!=z2 and |z1|=|z2|dot If ...

    Text Solution

    |

  14. sum(k=1)^6 (sin(2pik)/7 -icos(2pik)/7)=?

    Text Solution

    |

  15. The equation barbz+b barz=c, where b is a non-zero complex constant an...

    Text Solution

    |

  16. If |a(i)| lt 1, lambda(i) ge 0 for i=1,2,……n and lambda(1)+lambda(2)+…...

    Text Solution

    |

  17. For any two complex numbers, z(1),z(2) and any two real numbers a and ...

    Text Solution

    |

  18. Common roots of the equation z^(3)+2z^(2)+2z+1=0 and z^(2020)+z^(2018)...

    Text Solution

    |

  19. If z(1) and z(2) are two complex numbers such that |(z(1)-z(2))/(1-bar...

    Text Solution

    |

  20. The points representing cube roots of unity

    Text Solution

    |