Home
Class 12
MATHS
Locus of the pont z satisfying the equat...

Locus of the pont z satisfying the equation`|z-1|+|z-1|=2,` is (where,`i=sqrt(-1)`

A

a straight line

B

a circle

C

an ellipse

D

a pair of

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    VMC MODULES ENGLISH|Exercise LEVEL - 2|50 Videos
  • COMPLEX NUMBERS

    VMC MODULES ENGLISH|Exercise NUMRICAL VALUE TYPE FOR JEE MAIN|14 Videos
  • COMPLEX NUMBERS

    VMC MODULES ENGLISH|Exercise JEE ARCHIVE|76 Videos
  • CIRCLES

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ( ARCHIVE )|68 Videos
  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE|76 Videos

Similar Questions

Explore conceptually related problems

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

The equation z^(2)-i|z-1|^(2)=0, where i=sqrt(-1), has.

The locus represented by the equation |z-1| = |z-i| is

For a complex number z, the product of the real parts of the roots of the equation z^(2)-z=5-5i is (where, i=sqrt(-1) )

The solution of the equation |z|-z=1+2i is

The equation |z-1|=|z+1|,i= sqrt(-1) represents =

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

If z is complex number, then the locus of z satisfying the condition |2z-1|=|z-1| is (a)perpendicular bisector of line segment joining 1/2 and 1 (b)circle (c)parabola (d)none of the above curves

The system of equation |z+1+i|=sqrt2 and |z|=3} , (where i=sqrt-1 ) has

The locus of the complex number z satisfying the inequaliyt log_(1/sqrt(2)) ((|z-1|+6)/(2|z-1|-1))gt1 (2 where |z-1|!= 1/2) is (A) a circle (B) interior of a circle (C) exterior of circle (D) none of these

VMC MODULES ENGLISH-COMPLEX NUMBERS -LEVEL - 1
  1. If Re ((z + 2i)/(z+4))= 0 then z lies on a circle with centre :

    Text Solution

    |

  2. If z is a complex number satisfying the relation |z+ 1|=z+2(1+i), then...

    Text Solution

    |

  3. The number of solutions of z^3+ z =0 is (a) 2 (b) 3 (c) 4 (d) 5

    Text Solution

    |

  4. If z= costheta+isintheta , then the value of (z^(2n)-1)/(z^(2n)+1) ...

    Text Solution

    |

  5. If f(x)=x^(4)-8x^(3)+4x^(2) +39 and f(3+2i)=a+ib then a:b equals

    Text Solution

    |

  6. If z and bar z represent adjacent vertices of a regular polygon of n s...

    Text Solution

    |

  7. If z=-2+2sqrt(3)i, then z^(2n)+2^(2n)*z^n+2^(4n) is equal to

    Text Solution

    |

  8. if Im((z+2i)/(z+2))= 0 then z lies on the curve :

    Text Solution

    |

  9. about to only mathematics

    Text Solution

    |

  10. about to only mathematics

    Text Solution

    |

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

    Text Solution

    |

  12. If the imaginary part of (2z+1)//(i z+1) is -2, then find the locus of...

    Text Solution

    |

  13. If for the complex numbers z1 and z2, |z1+z2|=|z1-z2|, then Arg(z1)-...

    Text Solution

    |

  14. The complex number z(1),z(2),z(3) are the vertices A, B, C of a parall...

    Text Solution

    |

  15. If z = x + iotay and amp((z-1)/(z+1)) = pi/3 , then locus of z is

    Text Solution

    |

  16. If all the roots of z^3+az^2+bz+c=0 are of unit modulus, then (A) |a|l...

    Text Solution

    |

  17. If pi/2 < alpha < 3pi/2 then the modulus argument of (1+cos 2alpha)+i ...

    Text Solution

    |

  18. If a=cos""(4pi)/(3)+isin""(4pi)/(3), then the value of ((1+a)/(2))^(3n...

    Text Solution

    |

  19. Locus of the pont z satisfying the equation|z-1|+|z-1|=2, is (where,i=...

    Text Solution

    |

  20. If center of a regular hexagon is at the origin and one of the vertice...

    Text Solution

    |