Home
Class 12
MATHS
Let A, B, C be three sets of complex num...

Let A, B, C be three sets of complex number as defined below: `A={z:Imge1}, B={z:|z-2-i|= 3},C:{z:Re((1-i)z)=sqrt(2)}` The number of elements in the set `AnnBnnC` is

A

0

B

1

C

2

D

`infty`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Complex Number Exercise 8|3 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Complex Number Exercise 7|11 Videos

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|16 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|20 Videos

Similar Questions

Explore conceptually related problems

Represent the complex number z=1+sqrt3i in the polar form.

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

If z_1 and z_2 (ne 0) are two complex numbers, prove that : |z_1 z_2|= |z_1||z_2| .

C is the complex numbers f:CrarrR is defined by f(z)=|z^(3)-z+2|. Find the maximum value of f(z),If|z|=1.

If z_1, z_2 are two complex numbers satisfying the equation |(z_1 +z_2)/(z_1 -z_2)|=1 , then z_1/z_2 is a number which is :

Let z and w be two complex numbers such that |z|le1, |w|le1 and |z-iw|=|z-i bar w|=2 , then z equals :

The complex numbers z_1, z_2 and z_3 satisfying (z_1-z_3)/(z_2- z_3)= (1-i sqrt3)/2 are the vertices of triangle, which is :

Find the difference of the complex numbers : z_1=- 3 + 2i and z_2= 13-i .

Let R be the relation on Z defined by : R ={(a,b) :a in Z,b in Z, a^2 =b^2} . Find : R.

The points A,B and C represent the complex numbers z_(1),z_(2),(1-i)z_(1)+iz_(2) respectively, on the complex plane (where, i=sqrt(-1) ). The /_\ABC , is a. isosceles but not right angled b. right angled but not isosceles c. isosceles and right angled d. None of the above

ARIHANT MATHS-COMPLEX NUMBERS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. If |z|=1 and z!=1, then all the values of z/(1-z^2) lie on

    Text Solution

    |

  2. If abs(z+4) le 3, the maximum value of abs(z+1) is

    Text Solution

    |

  3. Let A, B, C be three sets of complex number as defined below: A={z:Img...

    Text Solution

    |

  4. What is 5% Equals to

    Text Solution

    |

  5. Express in the form of complex number i^9+i^(19)

    Text Solution

    |

  6. A particle P starts from the point z0=1+2i , where i=sqrt(-1) . It mov...

    Text Solution

    |

  7. If the conjugate of a complex numbers is 1/(i-1), where i=sqrt(-1). Th...

    Text Solution

    |

  8. Let z = x + iy be a complex number where x and y are integers. Then...

    Text Solution

    |

  9. Let z=costheta+isintheta. Then the value of sum(m->1-15)Img(z^(2m-1...

    Text Solution

    |

  10. If |z-4/z|=2 then the greatest value of |z| is:

    Text Solution

    |

  11. Let z(1) and z(2) be two distinct complex numbers and z=(1-t)z(1)+tz(2...

    Text Solution

    |

  12. Find the value of 2^4

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. If z is any complex number satisfying abs(z-3-2i) le 2, where i=sqrt(-...

    Text Solution

    |

  16. The set {R e((2i z)/(1-z^2)): z is a complex number,|z|=1,z=+-1} is.

    Text Solution

    |

  17. The maximum value of |ar g(1/(1-z))| for |z|=1 ,z!=1 is given by

    Text Solution

    |

  18. Find the value of 3^4

    Text Solution

    |

  19. Let alpha and beta be real numbers and z be a complex number. If z^(2...

    Text Solution

    |

  20. If omega is a cube root of unity and (1+omega)^7=A+Bomega then find th...

    Text Solution

    |