Home
Class 12
MATHS
If z(1) and overline(z)(1) represent adj...

If `z_(1) and overline(z)_(1)` represent adjacent vertices of a regular polygon of n sides whose centre is origin and if `(Im (z_(1)) )/(Re (z_(1))) = sqrt(2)-1` then n is equal to:

A

24

B

18

C

16

D

8

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    ML KHANNA|Exercise Problem Set (4) (True and False)|4 Videos

  • COMPLEX NUMBERS

    ML KHANNA|Exercise Problem Set (4) (fill in the blanks )|2 Videos

  • COMPLEX NUMBERS

    ML KHANNA|Exercise Problem Set (3) Fill in the blanks |5 Videos

  • CO-ORDINATE GEOMETRY OF THREE DIMENSION

    ML KHANNA|Exercise SELF ASSIGNMENT TEST |11 Videos

  • CONCEPTS OF SET THEORY

    ML KHANNA|Exercise Self Assessment Test|13 Videos

Similar Questions

Explore conceptually related problems

If z_1 and bar z_1 represent adjacent vertices of a regular polygon of n sides where centre is origin and if (Im(z))/(Re(z)) = sqrt(2) - 1, then n is equal to: (A) 8 (B) 16 (C) 24 (D) 32

If z_1& z_1 represent adjacent vertices of a regular polygon on n sides with centre at the origin & if (l m(z_1))/(R e(z_1))=sqrt(2)-1 then the value of n is equal to: 8 (b) 12 (c) 16 (d) 24

Im ((1) / (z_ (1) bar (z) _ (1)))

The center of a regular polygon of n sides is located at the point z=0, and one of its vertex z_(1) is known. If z_(2) be the vertex adjacent to z_(1) , then z_(2) is equal to

if |z-i Re(z)|=|z-Im(z)| where i=sqrt(-1) then z lies on

If z_(1)=cos theta+i sin theta and 1,z_(1),(z_(1))^(2),(z_(1))^(3),......,(z_(1))^(n-1) are vertices of a regular polygon such that (Im(z_(1))^(2))/(ReZ_(1))=(sqrt(5)-1)/(2), then the value n is

Points z_(1)&z_(2), are adjacent vertices of a regular octagon.The vertex z_(3) adjacent to z_(2)(z_(3)!=z_(1)) is represented by

ML KHANNA-COMPLEX NUMBERS -Problem Set (4) M.C.Q
  1. The roots of the equation 1+z+z^3+z^4=0 are represented by the vertice...

    Text Solution

    |

  2. If the area of the triangle on the complex plane formed by the points ...

    Text Solution

    |

  3. If the area of the triangle on the complex plane formed by complex num...

    Text Solution

    |

  4. The area of the triangle (in square units) whose vertices are i, omega...

    Text Solution

    |

  5. If the points represented by complex numbers z(1)=a+ib, z(2)=c+id " an...

    Text Solution

    |

  6. If z(1)=1+2i, z(2)=2+3i, z(3)=3+4i, then z(1),z(2) and z(3) represent ...

    Text Solution

    |

  7. If |z(1)|=|z(2)|=|z(3)| and z(1)+z(2)+z(3)=0, then z(1),z(2),z(3) are ...

    Text Solution

    |

  8. The triangle with vertices at the point z1z2,(1-i)z1+i z2 is

    Text Solution

    |

  9. Prove that the triangle formed by the points 1,(1+i)/(sqrt(2)),a n di ...

    Text Solution

    |

  10. Q. Let z1 and z2 be nth roots of unity which subtend a right angle at...

    Text Solution

    |

  11. If the points z(1),z(2),z(3) are the vertices of an equilateral triang...

    Text Solution

    |

  12. If z(1),z(2) are vertices of an equilateral triangle with z(0) its cen...

    Text Solution

    |

  13. The roots of the equation t^3+3a t^2+3b t+c=0a r ez1, z2, z3 which rep...

    Text Solution

    |

  14. If a and b are real numbers between 0 and 1 such that the points z(1...

    Text Solution

    |

  15. The centre of a square is at the origin and 1 + i is one of its verti...

    Text Solution

    |

  16. The points 1 + i, 1 - i, - 1 + i and - 1 - i are

    Text Solution

    |

  17. If one vertex of a square whose diagonals intersect at the origin is 3...

    Text Solution

    |

  18. If z(1) and overline(z)(1) represent adjacent vertices of a regular po...

    Text Solution

    |

  19. A man walks a distance of 3 units from the origin towards the North...

    Text Solution

    |

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

    Text Solution

    |