Home
Class 12
MATHS
The complex equation |z + 1- i| = |z + i...

The complex equation `|z + 1- i| = |z + i-1|` represents a

A

straight line

B

circle

C

parabola

D

hyperbola

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|93 Videos

  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise EXERCISE - I|49 Videos

  • CIRCLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|164 Videos

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise Exercise (Level-2)|38 Videos

Similar Questions

Explore conceptually related problems

The equation |z-1|^(2) + |z+1|^(2) = 2 represents

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

In the Argand Diagram , all the complex numbers z satisfying |z - 4i| + |z+ 4i| = 10 lie on a

If the complex numbers z_(1) , z_(2) , z_(3) represents the vertices of an equilateral triangle such that |z_1| = |z_2| = |z_3| then

If z = x + iy and if the point P in the Argand plane represents z , then the locus of P satisfying the equation |z- 3i| + |z + 3i| = 10 is

In the Argand Diagrams , all the complex number z satisfying |z-4i|+|z+4i|=0 lie on a

The complex z has argument theta (0 lt theta lt (pi)/(2)) and satisfy the equation |z - 3i| = 3 then prove that ( cot theta - (6)/(z)) = i

The equation zbarz + (2 - 3i) z + (2 + 3i) barz + 4 = 0 represents a circle of radius

AAKASH SERIES-COMPLEX NUMBERS-EXERCISE -II
  1. The locus of the point z=x+iy satisfying |(z-2i)/(z+2i)|=1 is

    Text Solution

    |

  2. If |z| = sqrt2 then the point given by "3 + 4z" lies on a circle whos...

    Text Solution

    |

  3. The complex equation |z + 1- i| = |z + i-1| represents a

    Text Solution

    |

  4. If z = x + iy is a complex numbers z for which |z +i//2|^(2) = |z - i/...

    Text Solution

    |

  5. If |z + barz| + |z - barz| = 2 then z lies on

    Text Solution

    |

  6. If |z^(2) - 1| = |z|^(2) + 1 , then z lies on

    Text Solution

    |

  7. If omega is a complex cube root of unity , then sum(k = 1)^(6) ( omega...

    Text Solution

    |

  8. If z(barz+3)=2 then the locus of z = x + iy is

    Text Solution

    |

  9. If alpha + ibeta = tan^(-1) (z) , z = x +iy and alpha is constant then...

    Text Solution

    |

  10. If (z - i)/(z +1) is purely imaginary then the locus of z = x +iy is

    Text Solution

    |

  11. If log (tan 30^(@)) ( (2 |z|^(2) + 2 |z| - 3)/(|z| + 1)) lt -2 , then

    Text Solution

    |

  12. The locus of z satisfying the inequality log ((1)/(3)) |z + 1| gt log(...

    Text Solution

    |

  13. If z(1) = 8 + 4i , z(2) = 6 + 4i and z be a complex number such that ...

    Text Solution

    |

  14. The triangle formed by the points 1 , (1 +i)/(sqrt2) and ias vertices ...

    Text Solution

    |

  15. If |z| =3 , the area of the triangle whose sides are z , omega z and ...

    Text Solution

    |

  16. Let z(1) , z(2) be two roots of the equation z^(2) + az + b = 0 , z be...

    Text Solution

    |

  17. In Argand diagram , O , P , Q represent the origin , z and z +iz resp...

    Text Solution

    |

  18. If a is a complex number and b is a real number then the equation bar...

    Text Solution

    |

  19. The complex numbers z(1) , z(2) and z(3) satisfying (z(1) - z(3))/(z(2...

    Text Solution

    |

  20. The cube roots of unity in an Argand plane represent the vertices of a...

    Text Solution

    |