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

8

B

16

C

18

D

24

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • SOLVED PAPER 2017

    BITSAT GUIDE|Exercise PART (IV) Mathematics)|45 Videos
  • SOLVED PAPER 2018

    BITSAT GUIDE|Exercise Mathematics (Part-IV)|45 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

BITSAT GUIDE-SOLVED PAPER 2019 BITSAT-PART -IV ( Mathematics )
  1. The area bounded by two branches of the curve (y-x)^2= x^3 and x = 1 e...

    Text Solution

    |

  2. The least value of the function f(x) = int(0)^(x) ( 3 sinx + 4 cos x )...

    Text Solution

    |

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

    Text Solution

    |

  4. In the expansion of (1+x+x^3+x^4), the coefficient of x^4 is ^40 C4 b....

    Text Solution

    |

  5. A person writes letters to six friends and addresses the corresponding...

    Text Solution

    |

  6. If x=log(5)3+log(7)5+log(9)7,then x is ge?

    Text Solution

    |

  7. Let pa n dq be the roots of the equation x^2-2x+A=0 and let ra n ds be...

    Text Solution

    |

  8. Let a,b,c in R and the system of equations (1-a)x+y+z=0,x+(1-b)y+z=0,x...

    Text Solution

    |

  9. If A is a 3xx3 non-singular matrix such that "AA"'=A'A and B=A^(-1)A',...

    Text Solution

    |

  10. If sin^(-1)x + tan ^(-1) x = (pi)/(2), then prove that 2x^(2) + 1 =...

    Text Solution

    |

  11. Find the number of solution of the equations |cos x |=[x], (where ...

    Text Solution

    |

  12. Let cos(alpha+beta)=(4)/(5) and let sin(alpha-beta)=(5)/(13), where 0 ...

    Text Solution

    |

  13. Cards are drawn one-by-one at random from a well-shuffled pack of 52 ...

    Text Solution

    |

  14. If a=hati+2hatj+3hatk,b=-hati+2hatj+hatk and c=3hati+hatj. If (a+b) bo...

    Text Solution

    |

  15. Let f(x) = x[x] , x cancelin Z [.] denotes greatest integer function)...

    Text Solution

    |

  16. The difference of maximum and minimum values of f(x) = x^(2) e^(-x) is

    Text Solution

    |

  17. If f'(x) = f(x)+ int (0)^(1)f (x) dx and given f (0) =1, then int f (x...

    Text Solution

    |

  18. The distance between the origin and the normal to the curve y=e^(2x)+x...

    Text Solution

    |

  19. Reflection of the line (x-1)/-1=(y-2)/3=(z-3)/1 in the plane x +y +z...

    Text Solution

    |

  20. If x,y,z in R , x +y+z =5 x^(2) +y^(2)+z^(2)=9 then length of interva...

    Text Solution

    |