Home
Class 12
MATHS
If one of the vertices of the square cir...

If one of the vertices of the square circumscribing the circle `|z - 1| = sqrt2` is `2+ sqrt3 iota`. Find the other vertices of square

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|12 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

If one of the vertices of the square circumscribing the circle |z-1|=sqrt(2) is 2+sqrt(3)t. Find the other vertices of square

Let one of the vertices of the square circumseribing the circle x^(2) + y^(2) - 6x -4y + 11 = 0 be (4, 2 + sqrt(3)) The other vertices of the square may be

If (1sqrt(3)) be one of the vertices of an equilateral triangle in circled in the circle x^(2)+y^(2)=4, then the other vertices are

The center of a square is at the origin and its one vertex is A(2,1). Find the coordinates of the other vertices of the square.

A regular hexagon is drawn circumscribing the circle with centre (1,(1)/(sqrt(3))) and radius 2. (3,sqrt(3)) is one vertex and other vertices are (x_(i),y_(i)), i = 1,2,3,4,5 . Then, sum_(i=1)^(5)(x_(i)+y_(i)) is

The diameter of a circle circumscribing a square is 15 sqrt2 cm What is the length of the side of the square

Let z1,z2,z3 be three vertices of an equilateral triangle circumscribing the circle |z|=(1)/(2)* If z1=(1)/(2)+((sqrt(3))iota)/(2) and z1,z2,z3 are in the anticlockwise sense then z2is

IF one of the vertices of a square is (3,2) and one of the diagonalls is along the line 3x+4y+8=0, then find the centre of the square and other vertices.

ARIHANT MATHS-COMPLEX NUMBERS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. If omega is a cube root of unity but not equal to 1, then minimum valu...

    Text Solution

    |

  2. If one of the vertices of the square circumscribing the circle |z - 1|...

    Text Solution

    |

  3. If z1 and z2, are two non-zero complex numbers such tha |z1+z2|=|z1...

    Text Solution

    |

  4. If 1,omega,omega^(2) are the cube roots of unity, then the roots of t...

    Text Solution

    |

  5. If omega = z//[z-(1//3)i] and |omega| = 1, then find the locus of z.

    Text Solution

    |

  6. If w=alpha+ibeta where Beta 0 and z ne 1 satisfies the condition that...

    Text Solution

    |

  7. Find the value of sum(k=1)^10[sin((2pik)/(11))-icos((2pik)/(11))],wher...

    Text Solution

    |

  8. If z^2+z+1=0 where z is a complex number, then the value of (z+1/z)^2+...

    Text Solution

    |

  9. A man walks a distance of 3 units from the origin towards north-east t...

    Text Solution

    |

  10. If |z|=1 and z!=+-1, then all the values of z/(1-z^2) lie on

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. Let A,B and C be three sets of complex numbers as defined below: {:(,A...

    Text Solution

    |

  14. Let A,B and C be three sets of complex numbers as defined below: {:(,A...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. Let z=x+i y be a complex number where xa n dy are integers. Then, the ...

    Text Solution

    |

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

    Text Solution

    |

  19. If |Z-4/Z|=2 then maximum value of |Z| is equal to

    Text Solution

    |

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

    Text Solution

    |