Home
Class 11
MATHS
Let A,B,C b ethree sets of complex numbe...

Let A,B,C b ethree sets of complex numbers as defined `A={z:Im zge 1}`
`B={z:abs(z-2-i)=3}`
`C={z:Re((1-i)z)=sqrt2}`
The number of elements in the set `AcapBcapC` 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

  • CIRCLE

    PATHFINDER|Exercise QUESTION BANK|198 Videos

  • COMPLEX NUMBERS

    PATHFINDER|Exercise QUESTION BANK|67 Videos

Similar Questions

Explore conceptually related problems

Let A,B,C b ethree sets of complex numbers as defined A={z:Im zge 1} B={z:abs(z-2-i)=3} C={z:Re((1-i)z)=sqrt2} Let z be any point in AcapBcapC then abs(z+1-i)^2+abs(z-5-i)^2 lies between

Let z be a complex number satisfying |z+16|=4|z+1| . Then

z is a complex number. The minimum value of |z | + I z - 2| is

A relation R on the set of complex number is defined by z_1 R z_2 iff (z_1 - z_2)/(z_1+z_2) is real ,show that R is an equivalence relation.

The complex number z satisfying the equation |z-i|=|z+1|=1 is

If z=-i-1 is a complex number,then arg (z) will be

An operation ** on the set of all complex numbers CC is defined by z_(1)**z_(2)=sqrt(z_(1)z_(2)) for all z_(1),z_(2)inCC . Is ** a binary operation on CC ?

if z is any complex number satisfying abs(z-3-2i)le2 then the minimum value of abs(2z-6+5i) is

Let A(z_1),A_2(barz_1) are the adjacent vertices of a regular polygon if (Im(barz_1))/(Re(z_1))=1-sqrt2 then number of sides of the polygon is equal to

Let z in C and if A={z:"arg"(z)=pi/4} and B={z:"arg"(z-3-3i)=(2pi)/3} . Then n(A frown B)=

PATHFINDER-COMPLEX NUMBER-QUESTION BANK
  1. The reflection of the complex number (2-i)/(3+i) where (i=sqrt(-1)in t...

    Text Solution

    |

  2. If alpha is a complex constant such that alphaz^2+z+baralpha=0 has are...

    Text Solution

    |

  3. Let A,B,C b ethree sets of complex numbers as defined A={z:Im zge 1} ...

    Text Solution

    |

  4. Let A,B,C b ethree sets of complex numbers as defined A={z:Im zge 1} ...

    Text Solution

    |

  5. Let alpha+ibeta be a complex number and let x+iy=e^(alpha+ibeta) where...

    Text Solution

    |

  6. Let alpha+ibeta be a complex number and let x+iy=e^(alpha+ibeta) where...

    Text Solution

    |

  7. If alpha is non real fourth root of unity , then value of,alpha^(4n-1)...

    Text Solution

    |

  8. Let alpha ne1 be an nth root of unity where n is a prime natural numbe...

    Text Solution

    |

  9. If cos(pi/7), cos((3pi)/7), cos((5pi)/7) are the roots of the equation...

    Text Solution

    |

  10. The complex numbers z is simultaneously satisfy the equations abs(z-12...

    Text Solution

    |

  11. The smallest positiv einteger n for which ((1+i)/(1-i))^n=1 where i=sq...

    Text Solution

    |

  12. If abszge3 then the least value of abs(z+i/z) is lambda/3 then the val...

    Text Solution

    |

  13. If abs(z-1)+abs(z+3)le8 then possible value of abs(z-4) is

    Text Solution

    |

  14. A complex number z is said to be unimodular if absz=1 suppose z1 and z...

    Text Solution

    |

  15. It is given that n is an odd integer greater than 3 but n is not a mul...

    Text Solution

    |

  16. Find the real values of x and y for which the following equation is sa...

    Text Solution

    |

  17. Let the complex numbers z1,z2 and z3 be the vertices of an equilateral...

    Text Solution

    |

  18. If in argand plane the vertices A,B,C of an isoceles triangle are rep...

    Text Solution

    |

  19. let z1=10+6i and z2=4+6i if z is nay complex number such that argument...

    Text Solution

    |

  20. if iz^3+z^2-z+i=0 then show that absz=1

    Text Solution

    |