Home
Class 11
MATHS
The number of complex numbers z such tha...

The number of complex numbers `z` such that `|z-1|=|z+1|=|z-i|` is

A

0

B

1

C

2

D

`oo`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise FREQUENTLY ASKED QUESTIONS|26 Videos

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise CHECK YOUR UNDERSTANDING|10 Videos

  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise COMPETITION FILE (JEE MAIN)|11 Videos

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST 11|12 Videos

Similar Questions

Explore conceptually related problems

The number of complex numbers z such that |z-1|=|z+1|=|z-i|, equals (1)1(2)2(3), (4) 0

The number of complex numbers such that |z-1|=|z+1|=|z-i| is true

The number of complex numbers z such that |z - i| = |z + i| = |z + 1| is

The number of complex numbers z satisfying |z-2-i|=|z-8+i| and |z+3|=1 is

find all complex numbers z such that |z -|z+1|| = |z+|z-1||

The number of complex numbers satisfying (1 + i)z = i|z|

The number of complex number z satisfying the equations |z|-4=|z-i|-|z+5i|=0 is

Number of complex numbers such that |z| = 1 and z = 1 - 2 bar(z) is

Let z_(1),z_(2) be two complex numbers such that |z_(1)+z_(2)|=|z_(1)|+|z_(2)| . Then,

MODERN PUBLICATION-COMPLEX NUMBERS-COMPETITION FILE
  1. If the conjugate of a complex numbers is 1/(i-1), where i=sqrt(-1). Th...

    Text Solution

    |

  2. If |z- 4/z| = 2, then find the maximum value of |z|.

    Text Solution

    |

  3. The number of complex numbers z such that |z-1|=|z+1|=|z-i| is

    Text Solution

    |

  4. If alpha and beta are the roots of the equation x^2-x+1=0 , then alpha...

    Text Solution

    |

  5. Let alpha,beta be real and z be a complex number. If z^2+alphaz""+beta...

    Text Solution

    |

  6. If omega(!=1) is a cube root of unity, and (1""+omega)^7=""A""+""...

    Text Solution

    |

  7. If z ne 1 and (z^(2))/(z-1) is real, the point represented by the comp...

    Text Solution

    |

  8. Let z be a complex number such that the imaginary part of z is nonzero...

    Text Solution

    |

  9. If z is a complex number of unit modulus of modulus and argument thet...

    Text Solution

    |

  10. If z is a complex number such that |z|>=2 then the minimum value of |z...

    Text Solution

    |

  11. A complex number z is said to be uni-modular if |z|=1. Suppose z(1) a...

    Text Solution

    |

  12. A value of theta for which (2+3isintheta)/(1-2isintheta) is purely ima...

    Text Solution

    |

  13. If ratio of the roots of the quadratic equation 3m^2x^2+m(m-4)x+2=0 is...

    Text Solution

    |

  14. Let (z-alpha)/(z+alpha) is purely imaginary and |z|=2, alphaepsilonR t...

    Text Solution

    |

  15. If one root of the quadratic equation X^(2)+px+q=0 is 2-sqrt(3) : wher...

    Text Solution

    |

  16. If S={(alpha+i)/(alpha-i),alphainR} then the S lies on

    Text Solution

    |

  17. Let z=((1+i)^(2))/(a-i)(agta) and |z|=sqrt((2)/(5)), then overline(z) ...

    Text Solution

    |