Home
Class 12
MATHS
If zk=cos((kpi)/(10))+isin((kpi)/(10)) ,...

If `z_k=cos((kpi)/(10))+isin((kpi)/(10))` , then `z_1z_2z_3z_4` is equal to

A

-1

B

1

C

-2

D

2

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|64 Videos

  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise EXERCISE -I|10 Videos

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise Exercise (Level-2)|38 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|62 Videos

Similar Questions

Explore conceptually related problems

If z_(k)=cos((kpi)/(10))+isin((kpi)/(10)) , then z_(1)z_(2)z_(3)z_(4) is equal to

If (5z_2)/(7z_1) is purely imaginary , then |(2z_1+3z_2)/(2z_1-3z_2)|=

If (2z_(1))/(3z_(2)) is purely , an imaginary number , then |(z_(1) - z_(2))/(z_(1) + z_(2))| is equal to

If |z_1|=|z_2|=1 , then |z_1+z_2| =

If |z_(1) | = |z_(2)| = 1 , then |z_(1) + z_(2)| =

If z_1= (2,3) , z_2= (5,6) , then find z_1/z_2 .

Find the value of sum_(k=1)^(10){sin((2kpi)/(11))-i cos ((2kpi)/(11))}

If |z-4/z|=2 , then the maximum value |z| is equal to

If z_(1)=(6,3),z_(2)=(2,-1) , find z_(1)//z_(2) .

Let z_(1) and z_(2) be two non-zero complex numbers such that (z_(1))/(z_(2)) + (z_(2))/(z_(1)) = 1 , then the origin and points represented by z_(1) and z_(2)

AAKASH SERIES-DEMOIVRE'S THEOREM-EXERCISE -II
  1. If A+B+C=180^@ and cis A=x,cis B=y,cis C=z, them xyz=

    Text Solution

    |

  2. If xn=cos(pi/2^n)+isin(pi/2^n), then x1 x2 x3......infinity

    Text Solution

    |

  3. If zk=cos((kpi)/(10))+isin((kpi)/(10)) , then z1z2z3z4 is equal to

    Text Solution

    |

  4. The general value of theta which satisfies the equation (costheta+isin...

    Text Solution

    |

  5. sum(k=1)^6[sin((2kpi)/(7))-icos((2kpi)/(7))]=

    Text Solution

    |

  6. The value of prod(k=1)^6((sin)(2pik)/(7)-(icos)(2pik)/(7)) is

    Text Solution

    |

  7. The value of 1+sum(k=0)^14{(cos)((2k+1)pi)/(15)+(isin)((2k+1)pi)/(15...

    Text Solution

    |

  8. If alpha and beta are the roots of the equation x^2-2x+4=0...

    Text Solution

    |

  9. If cos alpha+cos beta+cos gamma=0 & sin alpha +sin beta +sin gamma=0. ...

    Text Solution

    |

  10. If cosalpha+cosbeta+cosgamma=0=sin alpha+sinbeta+singamma then cos^2al...

    Text Solution

    |

  11. If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma then cos(2alp...

    Text Solution

    |

  12. If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma then x^(sin(2...

    Text Solution

    |

  13. If cosalpha+coabeta+cosgamma=0=sinalpha+sinbeta+singamma then cos(alph...

    Text Solution

    |

  14. If A+B+C=pi and cosA+cosB+cosC=0=sinA+sinB+sinC then cos3A+cos3B+cos3C...

    Text Solution

    |

  15. If x^6+1=0, then x =

    Text Solution

    |

  16. find the roots x^(11)-x^7+x^4-1=0

    Text Solution

    |

  17. The number of common roots of 15th and of 25th roots of unity are

    Text Solution

    |

  18. The common roots of the equation x^(12)-1=0,x^4+x^2+1=0 are

    Text Solution

    |

  19. The product of all nth roots of unity (n gt 1) is

    Text Solution

    |

  20. The product of the distinct (2n)^(th) roots 1+isqrt3 is

    Text Solution

    |