Home
Class 12
MATHS
If z1 and bar z1 represent adjacent vert...

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

A

2

B

4

C

6

D

8

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|12 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise For Session 4|14 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 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:

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

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

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

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_(1)| = 2 and (1-i)z_(2) + (1+i)bar(z)_(2) = 8 sqrt(2) , then

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

ARIHANT MATHS-COMPLEX NUMBERS-Exercise (Single Option Correct Type Questions)
  1. if cos (1-i) = a+ib, where a , b in R and i = sqrt(-1) , then

    Text Solution

    |

  2. Number of roots of the equation z^10-z^5 -992=0 with negative real par...

    Text Solution

    |

  3. If z1 and bar z1 represent adjacent vertices of a regular polygon of n...

    Text Solution

    |

  4. If prod(p=1)^(r) e^(iptheta)=1, where prod denotes the continued produ...

    Text Solution

    |

  5. If (3+i)(z+bar(z))-(2+i)(z-bar(z))+14i=0, where i=sqrt(-1), then z bar...

    Text Solution

    |

  6. The centre of a square ABCD is at z=0, A is z(1). Then, the centroid o...

    Text Solution

    |

  7. If z=(sqrt(3)-i)/2, where i=sqrt(-1), then (i^(101)+z^(101))^(103) equ...

    Text Solution

    |

  8. Let alpha and beta be two fixed non-zero complex numbers and 'z' a var...

    Text Solution

    |

  9. If alpha = cos((8pi)/11)+i sin ((8pi)/11) then Re(alpha + alpha^2+alph...

    Text Solution

    |

  10. The set of points in an Argand diagram which satisfy both abs(z)le4 an...

    Text Solution

    |

  11. If f(x)=g(x^(3))+xh(x^(3)) is divisiblel by x^(2)+x+1, then

    Text Solution

    |

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

    Text Solution

    |

  13. Let C and R denote the set of all complex numbers and all real numb...

    Text Solution

    |

  14. Let alpha and beta be two distinct complex numbers, such that abs(alph...

    Text Solution

    |

  15. The complex number z satisfies thc condition |z-25/z|=24. The maximum ...

    Text Solution

    |

  16. The points A,B and C represent the complex numbers z(1),z(2),(1-i)z(1)...

    Text Solution

    |

  17. The system of equations |z+1-i|=sqrt2 and |z| = 3 has

    Text Solution

    |

  18. Dividing f(z) by z-i, we obtain the remainder 1-i and dividing it by z...

    Text Solution

    |

  19. The centre of circle represented by |z + 1| = 2 |z - 1| in the complex...

    Text Solution

    |

  20. If x=9^(1/3) 9^(1/9) 9^(1/27) ......ad inf y= 4^(1/3) 4^(-1/9) 4^(1/...

    Text Solution

    |